{"id":1468,"date":"2022-04-19T10:43:29","date_gmt":"2022-04-19T10:43:29","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1468"},"modified":"2023-03-23T04:24:53","modified_gmt":"2023-03-23T04:24:53","slug":"algebra-definition-with-examples-copy","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area","title":{"rendered":"Area in Math &#8211; Definition, Composite Figures, FAQs, Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-26c5de2a-7ec2-421d-97a4-ac117ca79184\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area#0-definition-of-area>Definition of Area<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area#5-areas-of-composite-figures->Areas of Composite Figures&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area#12-solved-examples-on-area>Solved Examples On Area<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area#13-practice-problems-on-area>Practice Problems On Area<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area#14-frequently-asked-questions-on-area>Frequently Asked Questions On Area<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-definition-of-area\">Definition of Area<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The space enclosed by the boundary of a plane figure is called its <strong>area<\/strong>. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm\u00b2 and m\u00b2. Area of a shape is a two dimensional quantity.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The term \u201carea\u201d refers to the space inside the boundary or perimeter of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/closed-shape\" target=\"_blank\" rel=\"noopener\" title=\"\">closed shape<\/a>. The geometry of such a shape contains at least three sides joined together to form a boundary. Symbolic representation of such space in mathematics refers to the \u201carea\u201d formula. To represent and draw real-life objects, designers and architects use different <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\" target=\"_blank\" rel=\"noopener\" title=\"\">shapes<\/a> such as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\" target=\"_blank\" rel=\"noopener\" title=\"\">circle<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">triangle<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrilateral\" target=\"_blank\" rel=\"noopener\" title=\"\">quadrilateral<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" target=\"_blank\" rel=\"noopener\" title=\"\">polygon<\/a>.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math.png\" alt=\"A swimming pool and a basketball court\" class=\"wp-image-23318\" title=\"A swimming pool and a basketball court\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-300x154.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The invention of the wheel was the prime step of translating objects into <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometric-shapes\" target=\"_blank\" rel=\"noopener\" title=\"\">geometric shapes<\/a>. In the early days, the interpretation of \u201carea\u201d using a formula for geometric shapes evolved from the experiments conducted by Archimedes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-1.png\" alt=\"A wheel\" class=\"wp-image-23319\" title=\"A wheel\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-1.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-1-300x154.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-to-find-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_find_area_pt.png\" alt=\"Add to Find the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add to Find the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-of-composite-figure\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_10_gm.png\" alt=\"Area of Composite Figure Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area of Composite Figure Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area with Unit Squares and Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_3_4_5_gm.png\" alt=\"Build the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Build the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-area-of-rectilinear-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_rectilinear_shapes_pt.png\" alt=\"Determine the Area of Rectilinear Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Area of Rectilinear Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-by-multiplying-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multi_side_length_1_pt.png\" alt=\"Find Area by Multiplying Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area by Multiplying Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-in-square-units\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area in Square Units Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-by-multiplying-the-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multiply_pt.png\" alt=\"Find the Area by Multiplying the Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area by Multiplying the Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-of-shapes-using-unit-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_square_side_length_pt.png\" alt=\"Find the Area of Shapes Using Unit Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area of Shapes Using Unit Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = 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slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-what-is-the-formula-of-calculating-area\">What is the formula of Calculating Area?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">We can calculate the area of a shape using a grid. The area of any shape is the number of square units that can fit into it. The grid is made of many squares and each square has sides 1 unit by 1 unit, i.e., the area of each square is 1 square unit. Each square is known as a unit square.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its <strong>Area<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The easiest method to interpret the area of geometric shapes is using \u201cunit squares\u201d. <strong>A unit square is a square with each of its side length measuring 1 unit.<\/strong> Using this as a basis, the area of a polygon is the number of unit squares within a shape.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-2.png\" alt=\"Finding area using unit squares\" class=\"wp-image-23320\" title=\"Finding area using unit squares\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-2.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-2-300x154.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in $cm^{2}$, also known as square centimeters.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"380\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-3.png\" alt=\"Finding area of a square using unit squares\" class=\"wp-image-23322\" title=\"Finding area of a square using unit squares\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-3-300x184.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Here, the area of the shapes below will be measured in square meters $(m^{2})$ and square inches $(in^{2})$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-4.png\" alt=\"Finding area of shapes using unit squares\" class=\"wp-image-23323\" title=\"Finding area of shapes using unit squares\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-4-300x159.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The area of a shape is the number of shaded unit squares. In the figure below, the number of shaded unit squares $= 24$. Hence, the area of the shape $= 24$ square units.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-5.png\" alt=\"Area of a Rectangle using Square Grids\" class=\"wp-image-23324\" title=\"Area of a Rectangle using Square Grids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-5-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">How to calculate the area if there are also half unit squares in the grid?&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">To understand that, let us take one more example:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"400\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-6.png\" alt=\"Area of an Arrow using square grids\" class=\"wp-image-23325\" title=\"Area of an Arrow using square grids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-6-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 1<\/strong>: Count the full squares.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"426\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-7.png\" alt=\"\" class=\"wp-image-23326\" title=\"Counting the Full Squares covered by the Arrow\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-7-300x206.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">There are 18 full squares.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 2:<\/strong> Count the half squares.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">On counting, we see that there are 6 half squares.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 3:<\/strong> 1 full square $= 1$ square unit<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, 18 full square $= 18$ square units<\/p>\n\n\n\n<p class=\" eplus-wrapper\">1 half square $= \\frac{1}{2}$ square unit<\/p>\n\n\n\n<p class=\" eplus-wrapper\">6 half squares $= 3$ square units<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Total area $= 18 + 3 = 21$ square units.&nbsp;<\/p>\n\n\n\n<div 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});\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-origin-of-the-term-area\">Origin of the Term: Area<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The term \u2018area\u2019 originated from Latin, meaning \u2018a plain piece of empty land\u2019. It also means \u2018a particular amount of space contained within a set of boundaries\u2019.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-more-about-area\">More about Area<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Look at the carpet in your home. To buy a carpet that fits the floor, we need to know its area. Or the carpet will be bigger or smaller than the space! Some other instances when we need to know the area are while fitting tiles on the floor, painting the wall or sticking wallpaper to it, or finding out the total number of tiles needed to build a swimming pool.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-formulas-for-calculating-area\">Formulas for Calculating Area<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">We are surrounded by so many 2-D shapes: circle, triangle, square, rectangle, parallelogram, and trapezium. You can draw all of these shapes on your paper. Every shape is different and unique, so its area is also calculated differently. To find the area, first, identify the shape. Then, use the appropriate formula from the list given below to find its area.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">The area of an object can be explained as the amount of material required (such as paper, fabric, tiles) to cover the surface in a 2-dimensional plane.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">For 3-dimensional planes, such as cuboid, cube, sphere, etc., it is referred to as surface area.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"160\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-8.png\" alt=\"Area and surface area\" class=\"wp-image-23327\" title=\"Area and surface area\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-8.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-8-300x71.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"356\" height=\"672\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-9.png\" alt=\"Area of 2D shapes formula chart\" class=\"wp-image-23328\" title=\"Area of 2D shapes formula chart\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-9.png 356w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-9-159x300.png 159w\" sizes=\"auto, (max-width: 356px) 100vw, 356px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-areas-of-composite-figures-\">Areas of Composite Figures&nbsp;<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Every plane figure cannot be classified as a simple rectangle, square, triangle, or typical shape in real life. Some figures are made up of more than one simple 2-D shape. Let us join a rectangle and a semicircle.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"319\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-10.png\" alt=\"A composite figure\" class=\"wp-image-23329\" title=\"A composite figure\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-10-300x154.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">These shapes formed by the combination of two or more simple shapes are called \u201c<strong>composite figures<\/strong>\u201d or <strong>\u201c<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/composite-shape\" target=\"_blank\" rel=\"noopener\" title=\"\">composite shapes<\/a><\/strong>\u201d.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For finding the area of a composite figure, we must find the sum of the area of all the shapes in it. So, the area of the shape we just drew will be the area of the rectangle,<em> <\/em><em>l <\/em><em>b<\/em><em> <\/em>plus<em> <\/em>half<em> <\/em>the area of the circle, \u00bd x <em>\u03c0r\u00b2<\/em>, where l and b are the length and breadth of the rectangle and r is the radius of the semicircle.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If we draw a semicircle below a triangle, we get the composite shape:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-11.png\" alt=\"Composite figure formed by a semicircle and a triangle\" class=\"wp-image-23330\" title=\"Composite figure formed by a semicircle and a triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-11.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-11-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The area of such a composite figure will be calculated by adding the area of the triangle and the area of the semicircle.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of the a composite figure $= (\\frac{1}{2} \\times b \\times h) \\times (\\frac{1}{2} + \\pi r^{2})$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">where r is the radius of the semicircle and b and h are the base and height of the triangle respectively.&nbsp;<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-area-of-2-d-shapes\">Area of 2-D Shapes<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The table below lists the shapes and their formula to calculate area:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"988\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-12.png\" alt=\"Formula of Area of Different Geometric Figures\" class=\"wp-image-23331\" title=\"Formula of Area of Different Geometric Figures\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-12.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-12-189x300.png 189w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The table below summarizes some common 2D shapes and the area formula:<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-t-1.png\" alt=\"common 2D shapes and area formulas\"><\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"119\" height=\"118\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-t-2.png\" alt=\"common 2D shapes and area formulas\"><\/td><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-t-3.png\" alt=\"common 2D shapes and area formulas\"><\/td><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-t-4.png\" alt=\"common 2D shapes and area formulas\"><\/td><\/tr><tr><td>Area $=&nbsp; 12 \\times \\text{base} \\times \\text{heightArea} = &nbsp;12 \\times b \\times h$&nbsp;<\/td><td>$\\text{Area} = \\text{length} \\times \\text{length}<br>\\text{Area} = l^{2}$<\/td><td>$\\text{Area} = \\text{length} \\times \\text{breadthArea} = l \\times b$<\/td><td>$\\text{Area} = \\pi \\times \\text{radius} \\times \\text{radiusArea} =&nbsp; \\pi \\times r^{2} (\\pi = 3.14)$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-area-v-perimeter\">Area v. Perimeter<\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Area<\/strong><\/td><td><strong>Perimeter<\/strong><\/td><\/tr><tr><td>The space occupied by a closed plane in a two dimensional shape is called area.&nbsp;<\/td><td><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perimeter\" target=\"_blank\" rel=\"noopener\" title=\"\">Perimeter<\/a> is the measure of the length of the outer boundary of a closed shape.&nbsp;<\/td><\/tr><tr><td>Area is measured in squared units.&nbsp;<\/td><td>Perimeter is measured in units.&nbsp;<\/td><\/tr><tr><td>Example: Area of tiling the floor<\/td><td>Example: Perimeter of fencing the garden&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"364\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-13.png\" alt=\"Finding Area v. Finding Perimeter of a Square\" class=\"wp-image-23336\" title=\"Finding Area v. Finding Perimeter of a Square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-13.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-13-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"8-area-v-volume\">Area v. Volume<\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Area<\/strong><\/td><td><strong>Volume<\/strong><\/td><\/tr><tr><td>Area is defined for 2-dimensional space.<\/td><td><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/volume\" target=\"_blank\" rel=\"noopener\" title=\"\">Volume<\/a> is defined for 3-dimensional space.&nbsp;<\/td><\/tr><tr><td>The space occupied by a closed plane in a 2-dimensional shape is called area.&nbsp;<\/td><td>The space occupied by a 3-dimensional figure is known as volume.&nbsp;<\/td><\/tr><tr><td>Example: Area of tiling the floor<\/td><td>Example: Volume of the room<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"336\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-14.png\" alt=\"Finding Area versus Finding Volume\" class=\"wp-image-23337\" title=\"Finding Area versus Finding Volume\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-14.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-14-300x162.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"9-real-life-applications\">Real-life Applications<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Here are a few ways in which you can apply the knowledge of the area of figures in your daily life.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">We can find the area of a gifting paper to check whether it will be able to cover a box or not.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">We can find the area of a square or circle to find the area of the signal board.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">The concept of area has been the foundation of geometry since the early days. Scientists and astronomers took the help of patterns and geometric shapes to understand and establish advanced concepts in science and mathematics.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">In a modern aspect, the mathematical modeling of objects such as machines, tools, wheels as well as garment designing uses the concept of area and perimeter. It also serves as a basis for integral calculus to understand complex objects such as spheres and ellipses.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"10-fun-facts\">Fun Facts<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">1. The area of the disk was evaluated in the 5th century BCE by Hippocrates of Chios<\/p>\n\n\n\n<p class=\" eplus-wrapper\">2. Area of triangle is also calculated using Heron\u2019s formula<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"11-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">So far, we have learned that area is the two-dimensional space any object takes. Learning about shapes and their area and perimeter becomes much more interesting when we understand them with real-life applications. The use of area in practical life is while buying a new house, land, or even a small painting.&nbsp;<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"12-solved-examples-on-area\">Solved Examples On Area<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>A circle has a diameter of 20 cm. Find out the area of this circle.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">Ans: For the circle, $d = 20$ $cm$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Radius, $r = \\frac{d}{2} = 10$ $cm$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, $A = \\pi r^{2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 3.14 \\times 10 \\times 10 = 314$ $cm^{2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of the given circle is $314$ $cm^{2}$.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>The height of a triangle is 10 cm and the base is 20 cm. What is the area of this triangle?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">Ans: Area of the triangle $= \\frac{1}{2} \\times b \\times h$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= \\frac{1}{2} \\times 20 \\times 10 = 100$ $cm^{2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, the area of the given triangle is $100$ $cm^{2}$.<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>The width of a rectangle is half of its length. The width is measured to be 10 cm. What is the area of the rectangle?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">Ans: For the rectangle, $w = 10 cm$ and$ l = (10 \\times 2) = 20$ $cm$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of the rectangle, i.e., $A = l \\times w$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$A = 20 \\times 10 = 200$ $cm^{2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, the area of the given rectangle is $200$ $cm^{2}$.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 4: What is the area of the following figure?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"422\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-15.png\" alt=\"Area of an Irregular Shape using Square Grids\" class=\"wp-image-23338\" title=\"Area of an Irregular Shape using Square Grids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-15.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/area-in-math-15-300x204.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Solution: &nbsp;Full square $= 1$ square unit<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, 14 full square $= 14$ square units<\/p>\n\n\n\n<p class=\" eplus-wrapper\">1 half square $= \\frac{1}{2}$ square units<\/p>\n\n\n\n<p class=\" eplus-wrapper\">5 half squares $= 2.5$ square units<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Total area $= 14 + 2.5 = 16.5$ square units.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 5: What is the area of a rectangular park whose length and breadth are 30 m and 50 m respectively?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Solution: Given Data:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Length of the park $= 30$ m<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Breadth of the park $= 50$ m&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Use the area formula.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of a Rectangle $= \\text{Length} \\times \\text{Breadth}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= (30 \\times 50)$ $m^{2}$&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 1500$ $m^{2}$&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 6: What is the area of a circular cricket stadium whose radius is 200 m?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Solution: Given data:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Radius of the cricket stadium $= 200$ m<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Use the area formula.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of a Circle $= \\pi r^{2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= \\pi \\times 200 m \\times 200 m$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 40000 \\pi$ $m^{2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 7: What is the area of a square paddy field if each of its sides measures 10 units?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Solution: Given data:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Length of the side $= 10$ units&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Use the area formula.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of the square paddy field $= 10 \\times 10$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 100$ square units<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"13-practice-problems-on-area\">Practice Problems On Area<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The side of a square is 7 cm. What is the area of this square?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">20 cm$^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">30 cm$^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">40 cm$^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">49 cm$^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 49 cm$^{2}$<br\/>Area of the square = side $\\times$ side <b>\r\n$A = 7 \\times 7 = 49$ $cm^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The height of a triangle is 25 cm and the base is 50 cm. What is the area of the triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">600 cm$^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">625 cm$^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">650 cm$^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">700 cm$^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 625 cm$^{2}$<br\/>Area of the triangle $= \\frac{1}{2} \\times b \\times h = \\frac{1}{2} \\times 50 \\times 25 = 625$ $cm^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the area of a circle that has a radius of 4 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$40$ $cm^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$16$ $cm^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$60.27$ $cm^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$50.27$ $cm^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $50.27$ $cm^{2}$<br\/>Area of the circle $= \\pi r^{2} =3.14 \\times 4 \\times 4 = 50.27$ $cm^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The base of a parallelogram is 50 cm and the perpendicular height is 20 cm. What is the area of this parallelogram?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$400$ $cm^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$500$ $cm^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$750$ $cm^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$1000$ $cm^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $1000$ $cm^{2}$<br\/>Area of the parallelogram $= b \\times h = 50 \\times 20 = 1000$ $cm^{2}$. <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the area of a square whose perimeter is 28 m?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$21$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$42$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$49$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$47$ $m^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $49$ $m^{2}$<br\/>Perimeter of square $= 28$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$4 \\times s = 28$<br>\r\n$\\Rightarrow s = 7$<br>\r\nSo, side of square $= 7$ m<br>\r\nArea of square $= s \\times s = 7 \\times 7 = 49$ $m^{2}$ <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">What is the area of a circle whose radius is 10 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$100\\pi$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$300\\pi$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$400\\pi$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$500\\pi$ $m^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $100\\pi$ $m^{2}$<br\/>Area of circle $= \\pi r^{2} = \\pi \\times 10 \\times 10 = 100\\pi$ $m^{2}$ <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">7<\/span><h3 class=\"sqp_question_text\">The area of a rectangular pool is 500 sq. ft. If the width of the pool is 20 ft, what is its length?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">25 ft<\/div><div class=\"spq_answer_block\" data-value=\"1\">30 ft<\/div><div class=\"spq_answer_block\" data-value=\"2\">50 ft<\/div><div class=\"spq_answer_block\" data-value=\"3\">100 ft<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 25 ft<br\/>Area of rectangle $= \\text{Length} \\times \\text{Breadth}$<br>\r\nLength $= \\frac{Area}{Length} = \\frac{500}{20} = 25$ ft<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">8<\/span><h3 class=\"sqp_question_text\">What is the area of a rectangular park whose length and breadth are 80 m and 100 m respectively?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$1800$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$180$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$1018$ $m^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$8000$ $m^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $8000$ $m^{2}$<br\/>Area of rectangle $= \\text{Length} \\times \\text{breadth} = 80 \\times 100 = 8000$ $m^{2}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Area\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The side of a square is 7 cm. 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\"text\": \"Area of the triangle $$= \\\\frac{1}{2} \\\\times b \\\\times h = \\\\frac{1}{2} \\\\times 50 \\\\times 25 = 625$$ $$cm^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"625 cm$$^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of the triangle $$= \\\\frac{1}{2} \\\\times b \\\\times h = \\\\frac{1}{2} \\\\times 50 \\\\times 25 = 625$$ $$cm^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of the triangle $$= \\\\frac{1}{2} \\\\times b \\\\times h = \\\\frac{1}{2} \\\\times 50 \\\\times 25 = 625$$ $$cm^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a circle that has a radius of 4 cm?\",\n                    \"text\": \"What is the area of a circle that has a radius of 4 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of the circle $$= \\\\pi r^{2} =3.14 \\\\times 4 \\\\times 4 = 50.27$$ $$cm^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$40$$ $$cm^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of the circle $$= \\\\pi r^{2} =3.14 \\\\times 4 \\\\times 4 = 50.27$$ $$cm^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$16$$ $$cm^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of the circle $$= \\\\pi r^{2} =3.14 \\\\times 4 \\\\times 4 = 50.27$$ $$cm^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$60.27$$ $$cm^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of the circle $$= \\\\pi r^{2} =3.14 \\\\times 4 \\\\times 4 = 50.27$$ $$cm^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$50.27$$ $$cm^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of the circle $$= \\\\pi r^{2} =3.14 \\\\times 4 \\\\times 4 = 50.27$$ $$cm^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of the circle $$= \\\\pi r^{2} =3.14 \\\\times 4 \\\\times 4 = 50.27$$ $$cm^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The base of a parallelogram is 50 cm and the perpendicular height is 20 cm. What is the area of this parallelogram?\",\n                    \"text\": \"The base of a parallelogram is 50 cm and the perpendicular height is 20 cm. What is the area of this parallelogram?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of the parallelogram $$= b \\\\times h = 50 \\\\times 20 = 1000$$ $$cm^{2}$$. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$400$$ $$cm^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of the parallelogram $$= b \\\\times h = 50 \\\\times 20 = 1000$$ $$cm^{2}$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$500$$ $$cm^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of the parallelogram $$= b \\\\times h = 50 \\\\times 20 = 1000$$ $$cm^{2}$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$750$$ $$cm^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of the parallelogram $$= b \\\\times h = 50 \\\\times 20 = 1000$$ $$cm^{2}$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$1000$$ $$cm^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of the parallelogram $$= b \\\\times h = 50 \\\\times 20 = 1000$$ $$cm^{2}$$. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of the parallelogram $$= b \\\\times h = 50 \\\\times 20 = 1000$$ $$cm^{2}$$. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a square whose perimeter is 28 m?\",\n                    \"text\": \"What is the area of a square whose perimeter is 28 m?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of square $$= 28$$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$$4 \\\\times s = 28$$<br>\r\n$$\\\\Rightarrow s = 7$$<br>\r\nSo, side of square $$= 7$$ m<br>\r\nArea of square $$= s \\\\times s = 7 \\\\times 7 = 49$$ $$m^{2}$$ \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$21$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of square $$= 28$$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$$4 \\\\times s = 28$$<br>\r\n$$\\\\Rightarrow s = 7$$<br>\r\nSo, side of square $$= 7$$ m<br>\r\nArea of square $$= s \\\\times s = 7 \\\\times 7 = 49$$ $$m^{2}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$42$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of square $$= 28$$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$$4 \\\\times s = 28$$<br>\r\n$$\\\\Rightarrow s = 7$$<br>\r\nSo, side of square $$= 7$$ m<br>\r\nArea of square $$= s \\\\times s = 7 \\\\times 7 = 49$$ $$m^{2}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$47$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of square $$= 28$$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$$4 \\\\times s = 28$$<br>\r\n$$\\\\Rightarrow s = 7$$<br>\r\nSo, side of square $$= 7$$ m<br>\r\nArea of square $$= s \\\\times s = 7 \\\\times 7 = 49$$ $$m^{2}$$ \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$49$$ $$m^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of square $$= 28$$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$$4 \\\\times s = 28$$<br>\r\n$$\\\\Rightarrow s = 7$$<br>\r\nSo, side of square $$= 7$$ m<br>\r\nArea of square $$= s \\\\times s = 7 \\\\times 7 = 49$$ $$m^{2}$$ \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of square $$= 28$$ m<br>\r\nLet side of square be \u2018s\u2019 m<br>\r\n$$4 \\\\times s = 28$$<br>\r\n$$\\\\Rightarrow s = 7$$<br>\r\nSo, side of square $$= 7$$ m<br>\r\nArea of square $$= s \\\\times s = 7 \\\\times 7 = 49$$ $$m^{2}$$ \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a circle whose radius is 10 cm?\",\n                    \"text\": \"What is the area of a circle whose radius is 10 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of circle $$= \\\\pi r^{2} = \\\\pi \\\\times 10 \\\\times 10 = 100\\\\pi$$ $$m^{2}$$ \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$300\\\\pi$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of circle $$= \\\\pi r^{2} = \\\\pi \\\\times 10 \\\\times 10 = 100\\\\pi$$ $$m^{2}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$400\\\\pi$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of circle $$= \\\\pi r^{2} = \\\\pi \\\\times 10 \\\\times 10 = 100\\\\pi$$ $$m^{2}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$500\\\\pi$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of circle $$= \\\\pi r^{2} = \\\\pi \\\\times 10 \\\\times 10 = 100\\\\pi$$ $$m^{2}$$ \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$100\\\\pi$$ $$m^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of circle $$= \\\\pi r^{2} = \\\\pi \\\\times 10 \\\\times 10 = 100\\\\pi$$ $$m^{2}$$ \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of circle $$= \\\\pi r^{2} = \\\\pi \\\\times 10 \\\\times 10 = 100\\\\pi$$ $$m^{2}$$ \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a rectangular pool is 500 sq. ft. If the width of the pool is 20 ft, what is its length?\",\n                    \"text\": \"The area of a rectangular pool is 500 sq. ft. If the width of the pool is 20 ft, what is its length?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{Breadth}$$<br>\r\nLength $$= \\\\frac{Area}{Length} = \\\\frac{500}{20} = 25$$ ft\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 ft\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{Breadth}$$<br>\r\nLength $$= \\\\frac{Area}{Length} = \\\\frac{500}{20} = 25$$ ft\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50 ft\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{Breadth}$$<br>\r\nLength $$= \\\\frac{Area}{Length} = \\\\frac{500}{20} = 25$$ ft\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100 ft\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{Breadth}$$<br>\r\nLength $$= \\\\frac{Area}{Length} = \\\\frac{500}{20} = 25$$ ft\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"25 ft\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{Breadth}$$<br>\r\nLength $$= \\\\frac{Area}{Length} = \\\\frac{500}{20} = 25$$ ft\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{Breadth}$$<br>\r\nLength $$= \\\\frac{Area}{Length} = \\\\frac{500}{20} = 25$$ ft\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a rectangular park whose length and breadth are 80 m and 100 m respectively?\",\n                    \"text\": \"What is the area of a rectangular park whose length and breadth are 80 m and 100 m respectively?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{breadth} = 80 \\\\times 100 = 8000$$ $$m^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1800$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{breadth} = 80 \\\\times 100 = 8000$$ $$m^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$180$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{breadth} = 80 \\\\times 100 = 8000$$ $$m^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1018$$ $$m^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{breadth} = 80 \\\\times 100 = 8000$$ $$m^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$8000$$ $$m^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{breadth} = 80 \\\\times 100 = 8000$$ $$m^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of rectangle $$= \\\\text{Length} \\\\times \\\\text{breadth} = 80 \\\\times 100 = 8000$$ $$m^{2}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"14-frequently-asked-questions-on-area\">Frequently Asked Questions On Area<\/h2>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-21197452-3e26-42f2-933a-95049ae91b3e\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong><strong>How do the perimeter and the area of a shape differ?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">Perimeter and area are related to the 2-D geometry of shapes. Perimeter is the total length of the outline around the shape, while area is the total space inside the shape.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong><strong>Why is the area measured in square units but perimeter is not?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">Area is a measure of the number of unit squares that fit in a 2-D shape, so it is expressed in square units. Perimeter is the measure of the length of the outline of the shape and is expressed in linear units.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong><strong>What is the importance of the concept of area for learning?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">The knowledge of the area of a shape gives students a clear understanding of the total space covered within the boundary of that shape. This concept has many real-life applications, like finding the carpet area of a room, finding the total size of the wall that needs to be painted, etc.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong><strong>How is the area of an irregular shape measured?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">Divide the irregular shape into unit squares and calculate the total number of unit squares. If a few unit squares are not occupied entirely, approximate to 0 or 1 for each.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong>What is the difference between area and volume?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">Area refers to the region enclosed by a closed geometric figure in the 2-D plane. It is always measured in square units.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Volume refers to the region enclosed by a closed geometric figure in the 3-D plane. It is always measured in cubic units.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong>Who invented the concept of area?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">In the fifth century BCE, Hippocrates of Chios showed that the area of a disk, i.e., the region enclosed by a circle, is proportional to the square of its diameter\u2014as part of his quadrature of the lune of Hippocrates, but they were not able to identify the constant of proportionality.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-6-21197452-3e26-42f2-933a-95049ae91b3e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-21197452-3e26-42f2-933a-95049ae91b3e\"><strong>How do we use the concept of area in daily life?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-21197452-3e26-42f2-933a-95049ae91b3e\">\n\n<p class=\" eplus-wrapper\">We use the concept of area while figuring out how much material is required to cover a wooden table, how many tiles are required for tiling the floor, how much space is required for a parking lot, how much paint is required for the walls, etc.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Definition of Area Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. &#8230; <a title=\"Area in Math &#8211; Definition, Composite Figures, FAQs, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\" aria-label=\"More on Area in Math &#8211; Definition, Composite Figures, FAQs, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1468","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1468","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1468"}],"version-history":[{"count":37,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1468\/revisions"}],"predecessor-version":[{"id":26674,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1468\/revisions\/26674"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1468"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1468"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1468"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}