{"id":1921,"date":"2022-04-25T07:34:23","date_gmt":"2022-04-25T07:34:23","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1921"},"modified":"2024-01-23T10:25:23","modified_gmt":"2024-01-23T10:25:23","slug":"area-of-shape-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape","title":{"rendered":"Area of a Shape"},"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-d03724db-779d-4b8f-9ab0-eb751b018038\" 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\/measurements\/area-of-shape#0-area-of-a-shape>Area of a Shape<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape#1-area-of-basic-geometric-shapes>Area of Basic Geometric Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape#8-area-of-combination-of-shapes>Area of Combination of Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape#9-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape#10-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape#11-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-area-of-a-shape\">Area of a Shape<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A shape is defined as a figure enclosed by a boundary. We see uncountable objects around us in shapes such as square, rectangle, circle etc.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, what is this area of shape? Let\u2019s dive deeper into the concept.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The area of shape is the space enclosed within the perimeter or the boundary of a given shape. We can calculate the area of shape for different geometrical shapes using specific mathematical formulae.<\/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\/2024\/01\/different-plane-shapes.png\" alt=\"Different plane shapes\" class=\"wp-image-37566\" title=\"Different plane shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/different-plane-shapes.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/different-plane-shapes-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/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\/choose-the-correct-fact-related-to-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\/geometry_check_statement_pt.png\" alt=\"Choose the Correct Fact Related to 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\">Choose the Correct Fact Related to 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\/choose-the-shape-that-matches-the-given-condition\" 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\/geometry_right_angle_2d_shape_1_pt.png\" alt=\"Choose the Shape that Matches the Given Condition 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\">Choose the Shape that Matches the Given Condition 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\/classify-shapes-according-to-their-hierarchy\" 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\/geometry_whr_does_shape_belong_pt.png\" alt=\"Classify Shapes According to their Hierarchy 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\">Classify Shapes According to their Hierarchy 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\/classify-shapes-according-to-their-subcategories\" 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\/geometry_sub_cat_of_shapes_pt.png\" alt=\"Classify Shapes According to their Subcategories 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\">Classify Shapes According to their Subcategories 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\/classify-squares-and-trapezoids-as-closed-shape\" 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\/geometry_square_trapezoid_2_pt.png\" alt=\"Classify Squares and Trapezoids as Closed Shape 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\">Classify Squares and Trapezoids as Closed Shape 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 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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=\"wp-block-heading eplus-wrapper\" id=\"1-area-of-basic-geometric-shapes\">Area of Basic Geometric Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">How do you find the area of a shape? Let\u2019s explore the area of various shapes and their area formulae. One great way to understand the area of shapes formulas is to make a formula chart! However, we will try to understand them one by one.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"2-rectangle-\"><strong>Rectangle<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The area of a rectangle can be defined as the amount of space covered by a flat surface of a rectangle. It is calculated as the product of its length (l) and width (w).&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Area of a Rectangle <\/strong>$= \\text{l} \\times \\text{w}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-rectangle.png\" alt=\"Area of rectangle\" class=\"wp-image-37567\" title=\"Area of rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-rectangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-rectangle-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s understand why by dividing the rectangle with length 5 units and width 2 units into unit squares. Unit squares are squares with side 1 unit and area equal to 1 square unit.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"613\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/verification-of-the-area-of-a-rectangle.png\" alt=\"Verification of the area of a rectangle\" class=\"wp-image-37568\" title=\"Verification of the area of a rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/verification-of-the-area-of-a-rectangle.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/verification-of-the-area-of-a-rectangle-300x296.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-square-\"><strong>Square<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">Squares are also rectangles with length equal to width. So, the area of a square can be calculated by multiplying its side (a) two times or finding its square.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Area of Square <\/strong>$= \\text{side} \\times \\text{side} = \\text{side}^2$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"417\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-the-square-.png\" alt=\"Area of the square\" class=\"wp-image-37569\" title=\"Area of the square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-the-square-.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-the-square--300x201.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-parallelogram-\"><strong>Parallelogram<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The area of a parallelogram can be calculated by multiplying its base with the height. The base and the height of a parallelogram are perpendicular to each other. The formula to calculate the area of a parallelogram can be given as,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of parallelogram $= b \\times h$<strong> sq. units<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Where, b is the length of the base and h is the height.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"370\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-parallelogram.png\" alt=\"Area of a parallelogram\" class=\"wp-image-37570\" title=\"Area of a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-parallelogram.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-parallelogram-300x180.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Do you wonder how this is so?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s do an activity to find out.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1: <\/strong>Cut out a parallelogram with a base of any length, say, b units.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"610\" height=\"401\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-one.png\" alt=\"Area of parallelogram verification step 1\" class=\"wp-image-37571\" title=\"Area of parallelogram verification step 1\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-one.png 610w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-one-300x197.png 300w\" sizes=\"auto, (max-width: 610px) 100vw, 610px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Draw an altitude of length h units perpendicular to the base.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"406\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-two.png\" alt=\"Area of parallelogram verification step 2\" class=\"wp-image-37572\" title=\"Area of parallelogram verification step 2\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-two.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-two-300x196.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> Cut the right triangle so formed.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"397\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-three.png\" alt=\"Area of parallelogram verification step 3\" class=\"wp-image-37573\" title=\"Area of parallelogram verification step 3\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-three.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-three-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 4:<\/strong> Place the cut right triangle on the opposite side to get a rectangle of length b units and width h units.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"393\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-four.png\" alt=\"Area of parallelogram verification step 4\" class=\"wp-image-37574\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-four.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-parallelogram-verification-step-four-300x190.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We know that the area of a rectangle is the product of its length and its width. So, the area of the rectangle so formed in the above activity would be $b \\times h$ sq. units.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Also, the area of the above rectangle will be equal to the area of the parallelogram we originally started with.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since we had cut a part of the parallelogram and placed it on the other side, the area of the figure will not change. This means, the area of the parallelogram would be equal to the area of the rectangle so formed. That is, $b \\times h$ sq. units.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-triangle-\"><strong>Triangle<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">We can find the area of a triangle using the formula: $\\frac{1}{2}&nbsp; \\times \\text{base} \\times \\text{height}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"405\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-triangle.png\" alt=\"Area of a triangle\" class=\"wp-image-37575\" title=\"Area of a triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-triangle-300x196.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-circle-\"><strong>Circle<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The area of a circle is calculated using the formula: $\\pi r^2$,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">where r is the radius of the circle and pi $(\\pi)$ is a constant that equals 22\/7 or 3.14 (approximately).&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"440\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-circle.png\" alt=\"Area of a circle\" class=\"wp-image-37576\" title=\"Area of a circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-circle.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-circle-300x213.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Do you know that if we divide a circle\u2019s circumference by its diameter, the quotient is a constant that equals the value of pi $(\\pi)$?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">This means, $\\pi =$ circumference\/diameter<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-color-shapes-within-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-color-shapes-within-10.jpeg\" alt=\"Add and Color Shapes (Within 10)\">\r\n\t    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data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-color-shapes-within-5.jpeg\" alt=\"Add and Color Shapes (Within 5)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/classify-shapes-as-flats-or-solids\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/classify-shapes-as-flats-or-solids.jpeg\" alt=\"Classify Shapes as Flats or Solids Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/color-and-add-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/color-and-add-shapes.jpeg\" alt=\"Color and Add Shapes\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/color-shapes-sum-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/color-shapes-sum-10.jpeg\" alt=\"Color Shapes (Sum 10)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/color-shapes-sum-3\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/color-shapes-sum-3.jpeg\" alt=\"Color Shapes (Sum 3)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = 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=\"wp-block-heading eplus-wrapper\" id=\"7-how-do-we-apply-formula-to-find-the-area-of-a-shape\">How Do We Apply Formula to Find the Area of a Shape?<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Identify parameters like length, width, side, radius, etc., that are required to find the area of a shape.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Measure the parameters and make sure that all of them have the same units. For example, if the length of a rectangle is measured in inches, then the width should also be in inches only.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Substitute these values in the formula.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Calculate the area of shape.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Now let\u2019s try finding the area of this triangle with base $= 20$ mm and height $= 5$ cm.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"424\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/calculating-the-area-of-a-triangle.png\" alt=\"Calculating the area of a triangle\" class=\"wp-image-37577\" title=\"Calculating the area of a triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/calculating-the-area-of-a-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/calculating-the-area-of-a-triangle-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The formula to find the area of a triangle is $\\frac{1}{2}&nbsp;\\times \\text{base} \\times \\text{height}$<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, to find the area of a triangle, we must know its base length and corresponding height, which we are already provided.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">However, these measurements are given in different units (base $= 20$ mm and height $= 5$ cm).<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, let\u2019s convert 20 mm into cm, that is, 2 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we substitute the values in the formula and calculate the area.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $= \\frac{1}{2}&nbsp; \\times \\text{base} \\times \\text{height} = \\frac{1}{2} \\times 2 \\times 5 \\text{cm}^2 = 10 \\text{cm}^2$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-area-of-combination-of-shapes\">Area of Combination of Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">How do we calculate the area of shapes that look like a combination of many different shapes? The area of a figure composed of other shapes can be calculated by adding the individual areas!<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The answer to this question is very simple. We identify the shapes the figure is composed of, and find the area of the individual shapes. The sum of the individual areas gives us the required answer!&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Take a look at the following shape. What is the area of the figure?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"365\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-combination-of-shapes.png\" alt=\"Area of a combination of shapes\" class=\"wp-image-37578\" title=\"Area of a combination of shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-combination-of-shapes.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-of-a-combination-of-shapes-300x177.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">If we observe this shape carefully, we find that it is composed of two rectangles as shown below.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"407\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/calculating-area-of-a-combination-of-shapes.png\" alt=\"Calculating area of a combination of shapes\" class=\"wp-image-37579\" title=\"Calculating area of a combination of shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/calculating-area-of-a-combination-of-shapes.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/calculating-area-of-a-combination-of-shapes-300x197.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Now let\u2019s find the area of each rectangle<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Rectangle 1:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Length $= 4 \\text{in}$, width $= 7 \\text{in} (= 9 \u2013 2 \\text{in})$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $= (4 \u00d7 7) \\text{in}^2 = 28 \\text{in}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Rectangle 2:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Length $= 10 \\text{in} (= 6 + 4 \\text{in}), width = 2 \\text{in}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $= (10 \u00d7 2) \\text{in}^2 = 20 \\text{in}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Area of given figure<\/strong> $=$ area of Rectangle $1 +$ area of Rectangle 2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= (28 + 20) \\text{in}^2 = 48 \\text{in}^2$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. The length of the largest chord of a circle is 14 ft. Find the area of the circle. (Use <\/strong>$=227$<strong>)&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The longest chord of a circle is its diameter. This means, according to the question, diameter (d) $= 14$ ft.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that radius is half the diameter.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">r $= \\frac{d}{2} = 142 ft = 7$ ft<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula for the circle\u2019s area,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of a Circle $= r^2 = (227) \\times (7)^2 = (227) \\times 7 \\times 7 = 22 \\times 7 = 154 ft^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2<\/strong>.<strong> Find the area of a triangle with a base of 12 inches and a height of 5 inches.<\/strong><br><strong>Solution<\/strong>:<br>Let\u2019s find the area using the area of triangle:<br>Area of triangle $= \\frac{1}{2}&nbsp;\\times \\text{b} \\times \\text{h}$<br>A $= \\frac{1}{2}&nbsp; \\times 12 \\times 5$<br>A $= \\frac{1}{2}&nbsp;\\times 60$<br>Hence, the area of the triangle $= 30 \\text{in}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. What is the area of a square-shaped mat with one side equal to 5 m?<\/strong><br><strong>Solution<\/strong>:<br>We know that one side of the mat is 5 m. So, we will use the formula: Area of a square $= \\text{side} \\times \\text{side} = 5 \\times 5 = 25 \\text{m}^2$. Hence, the area of the swimming pool is 25 square meters.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. The length and width of a rectangular farm are 80 yards and 60 yards. Find the area of shape.<br>Solution:<br><\/strong>Length of the farm, l = 80 yards and width of the farm, $\\text{w} = 60$ yards<br>Area of the rectangular farm is given by $= \\text{l} \\times \\text{w} = 80 \\text{yd} \\times 60 \\text{yd} = 4800 \\text{yd}^2$.<br>Therefore, the area of the farm is 4800 sq. yd.<strong>5. Calculate the area of a solar cell sheet that is in the shape of a parallelogram, given that the base measures 20 in, and the altitude measures 8 in.<br>Solution:<br><\/strong>Using the area of parallelogram formula:<br>Area of the solar cell sheet $= \\text{b} \\times \\text{h} = (20) \\times (8) = 160 \\text{in}^2$<br>So, the area of a solar cell sheet is $160 \\text{in}^2$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area of a Shape<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the value of $\\pi$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3.14<\/div><div class=\"spq_answer_block\" data-value=\"1\">2.52<\/div><div class=\"spq_answer_block\" data-value=\"2\">10.7<\/div><div class=\"spq_answer_block\" data-value=\"3\">9.65<\/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: 3.14<br\/>Pi $(\\pi)$ is a constant that is equivalent to the ratio of circumference and diameter of a circle and holds the value of $\\frac{22}{7}$ or 3.14 approximately. <\/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 area of a square is $25 \\text{cm}^2$, find the length of its side.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">9 cm<\/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: 5 cm<br\/>Area of a square $= (\\text{side})^2$<br>\r\nHere, area $= 25 \\text{cm}^2$  so,<br>\r\n$\\text{Side} \\times \\text{Side} = 25 \\text{cm}^2$<br>\r\n$5 \\text{cm} \\times 5 \\text{cm} = 25 \\text{cm}^2$<br>\r\nSo, $\\text{side} = 5 \\text{cm}$<\/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 parallelogram with a base of 4 cm and a height 3 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$12$ cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"1\">$14$ cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"2\">$24$ cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"3\">$28$ cm sq.<\/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: $28$ cm sq.<br\/>Area of a square $= (\\text{base} \\times \\text{height}) = 4 \\text{cm} \\times 3 \\text{cm} = 12 \\text{cm}^2$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the area of a circle with radius $\\text{r} = 70$ inches.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15,400 sq. inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">13,600 sq. inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">14,400 sq. inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">19,600 sq. inches<\/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: 15,400 sq. inches<br\/>Area of a Circle $$= \\pi r^2 = \\frac{22}{7} \\times 70 \\, \\text{inches} \\times 70 \\, \\text{inches} = 15,400 \\, \\text{sq. inches}$$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the area of shape made by joining three squares of side 3 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6 cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"1\">9 cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"2\">18 cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"3\">27 cm sq.<\/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: 27 cm sq.<br\/>Area of a square $= a^{2} = (3 \\;cm)^{2} = 9 \\;cm^{2}$<br>\r\nArea of 3 such squares $= 3 \\times$ Area of 1 square $= 3 \\times 9 \\;cm^{2} = 27 \\;cm^{2}$, which<br>\r\nis the required area of shape.<\/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\": 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\"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2.52\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Pi $$(\\\\pi)$$ is a constant that is equivalent to the ratio of circumference and diameter of a circle and holds the value of $$\\\\frac{22}{7}$$ or 3.14 approximately. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10.7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Pi $$(\\\\pi)$$ is a constant that is equivalent to the ratio of circumference and diameter of a circle and holds the value of $$\\\\frac{22}{7}$$ or 3.14 approximately. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9.65\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Pi $$(\\\\pi)$$ is a constant that is equivalent to the ratio of circumference and diameter of a circle and holds the value of $$\\\\frac{22}{7}$$ or 3.14 approximately. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3.14\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Pi $$(\\\\pi)$$ is a constant that is equivalent to the ratio of circumference and diameter of a circle and holds the value of $$\\\\frac{22}{7}$$ or 3.14 approximately. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Pi $$(\\\\pi)$$ is a constant that is equivalent to the ratio of circumference and diameter of a circle and holds the value of $$\\\\frac{22}{7}$$ or 3.14 approximately. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a square is $$25 \\\\text{cm}^2$$, find the length of its side.\",\n                    \"text\": \"The area of a square is $$25 \\\\text{cm}^2$$, find the length of its side.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of a square $$= (\\\\text{side})^2$$<br>\r\nHere, area $$= 25 \\\\text{cm}^2$$  so,<br>\r\n$$\\\\text{Side} \\\\times \\\\text{Side} = 25 \\\\text{cm}^2$$<br>\r\n$$5 \\\\text{cm} \\\\times 5 \\\\text{cm} = 25 \\\\text{cm}^2$$<br>\r\nSo, $$\\\\text{side} = 5 \\\\text{cm}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= (\\\\text{side})^2$$<br>\r\nHere, area $$= 25 \\\\text{cm}^2$$  so,<br>\r\n$$\\\\text{Side} \\\\times \\\\text{Side} = 25 \\\\text{cm}^2$$<br>\r\n$$5 \\\\text{cm} \\\\times 5 \\\\text{cm} = 25 \\\\text{cm}^2$$<br>\r\nSo, $$\\\\text{side} = 5 \\\\text{cm}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= (\\\\text{side})^2$$<br>\r\nHere, area $$= 25 \\\\text{cm}^2$$  so,<br>\r\n$$\\\\text{Side} \\\\times \\\\text{Side} = 25 \\\\text{cm}^2$$<br>\r\n$$5 \\\\text{cm} \\\\times 5 \\\\text{cm} = 25 \\\\text{cm}^2$$<br>\r\nSo, $$\\\\text{side} = 5 \\\\text{cm}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= (\\\\text{side})^2$$<br>\r\nHere, area $$= 25 \\\\text{cm}^2$$  so,<br>\r\n$$\\\\text{Side} \\\\times \\\\text{Side} = 25 \\\\text{cm}^2$$<br>\r\n$$5 \\\\text{cm} \\\\times 5 \\\\text{cm} = 25 \\\\text{cm}^2$$<br>\r\nSo, $$\\\\text{side} = 5 \\\\text{cm}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of a square $$= (\\\\text{side})^2$$<br>\r\nHere, area $$= 25 \\\\text{cm}^2$$  so,<br>\r\n$$\\\\text{Side} \\\\times \\\\text{Side} = 25 \\\\text{cm}^2$$<br>\r\n$$5 \\\\text{cm} \\\\times 5 \\\\text{cm} = 25 \\\\text{cm}^2$$<br>\r\nSo, $$\\\\text{side} = 5 \\\\text{cm}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of a square $$= (\\\\text{side})^2$$<br>\r\nHere, area $$= 25 \\\\text{cm}^2$$  so,<br>\r\n$$\\\\text{Side} \\\\times \\\\text{Side} = 25 \\\\text{cm}^2$$<br>\r\n$$5 \\\\text{cm} \\\\times 5 \\\\text{cm} = 25 \\\\text{cm}^2$$<br>\r\nSo, $$\\\\text{side} = 5 \\\\text{cm}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a parallelogram with a base of 4 cm and a height 3 cm?\",\n                    \"text\": \"What is the area of a parallelogram with a base of 4 cm and a height 3 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of a square $$= (\\\\text{base} \\\\times \\\\text{height}) = 4 \\\\text{cm} \\\\times 3 \\\\text{cm} = 12 \\\\text{cm}^2$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12$$ cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= (\\\\text{base} \\\\times \\\\text{height}) = 4 \\\\text{cm} \\\\times 3 \\\\text{cm} = 12 \\\\text{cm}^2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$14$$ cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= (\\\\text{base} \\\\times \\\\text{height}) = 4 \\\\text{cm} \\\\times 3 \\\\text{cm} = 12 \\\\text{cm}^2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$24$$ cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= (\\\\text{base} \\\\times \\\\text{height}) = 4 \\\\text{cm} \\\\times 3 \\\\text{cm} = 12 \\\\text{cm}^2$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$28$$ cm sq.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of a square $$= (\\\\text{base} \\\\times \\\\text{height}) = 4 \\\\text{cm} \\\\times 3 \\\\text{cm} = 12 \\\\text{cm}^2$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of a square $$= (\\\\text{base} \\\\times \\\\text{height}) = 4 \\\\text{cm} \\\\times 3 \\\\text{cm} = 12 \\\\text{cm}^2$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the area of a circle with radius $$\\\\text{r} = 70$$ inches.\",\n                    \"text\": \"Find the area of a circle with radius $$\\\\text{r} = 70$$ inches.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of a Circle $$$$= \\\\pi r^2 = \\\\frac{22}{7} \\\\times 70 \\\\, \\\\text{inches} \\\\times 70 \\\\, \\\\text{inches} = 15,400 \\\\, \\\\text{sq. inches}$$$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"13,600 sq. inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a Circle $$$$= \\\\pi r^2 = \\\\frac{22}{7} \\\\times 70 \\\\, \\\\text{inches} \\\\times 70 \\\\, \\\\text{inches} = 15,400 \\\\, \\\\text{sq. inches}$$$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"14,400 sq. inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a Circle $$$$= \\\\pi r^2 = \\\\frac{22}{7} \\\\times 70 \\\\, \\\\text{inches} \\\\times 70 \\\\, \\\\text{inches} = 15,400 \\\\, \\\\text{sq. inches}$$$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"19,600 sq. inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a Circle $$$$= \\\\pi r^2 = \\\\frac{22}{7} \\\\times 70 \\\\, \\\\text{inches} \\\\times 70 \\\\, \\\\text{inches} = 15,400 \\\\, \\\\text{sq. inches}$$$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"15,400 sq. inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of a Circle $$$$= \\\\pi r^2 = \\\\frac{22}{7} \\\\times 70 \\\\, \\\\text{inches} \\\\times 70 \\\\, \\\\text{inches} = 15,400 \\\\, \\\\text{sq. inches}$$$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of a Circle $$$$= \\\\pi r^2 = \\\\frac{22}{7} \\\\times 70 \\\\, \\\\text{inches} \\\\times 70 \\\\, \\\\text{inches} = 15,400 \\\\, \\\\text{sq. inches}$$$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of shape made by joining three squares of side 3 cm?\",\n                    \"text\": \"What is the area of shape made by joining three squares of side 3 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of a square $$= a^{2} = (3 \\\\;cm)^{2} = 9 \\\\;cm^{2}$$<br>\r\nArea of 3 such squares $$= 3 \\\\times$$ Area of 1 square $$= 3 \\\\times 9 \\\\;cm^{2} = 27 \\\\;cm^{2}$$, which<br>\r\nis the required area of shape.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= a^{2} = (3 \\\\;cm)^{2} = 9 \\\\;cm^{2}$$<br>\r\nArea of 3 such squares $$= 3 \\\\times$$ Area of 1 square $$= 3 \\\\times 9 \\\\;cm^{2} = 27 \\\\;cm^{2}$$, which<br>\r\nis the required area of shape.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= a^{2} = (3 \\\\;cm)^{2} = 9 \\\\;cm^{2}$$<br>\r\nArea of 3 such squares $$= 3 \\\\times$$ Area of 1 square $$= 3 \\\\times 9 \\\\;cm^{2} = 27 \\\\;cm^{2}$$, which<br>\r\nis the required area of shape.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18 cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a square $$= a^{2} = (3 \\\\;cm)^{2} = 9 \\\\;cm^{2}$$<br>\r\nArea of 3 such squares $$= 3 \\\\times$$ Area of 1 square $$= 3 \\\\times 9 \\\\;cm^{2} = 27 \\\\;cm^{2}$$, which<br>\r\nis the required area of shape.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"27 cm sq.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of a square $$= a^{2} = (3 \\\\;cm)^{2} = 9 \\\\;cm^{2}$$<br>\r\nArea of 3 such squares $$= 3 \\\\times$$ Area of 1 square $$= 3 \\\\times 9 \\\\;cm^{2} = 27 \\\\;cm^{2}$$, which<br>\r\nis the required area of shape.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of a square $$= a^{2} = (3 \\\\;cm)^{2} = 9 \\\\;cm^{2}$$<br>\r\nArea of 3 such squares $$= 3 \\\\times$$ Area of 1 square $$= 3 \\\\times 9 \\\\;cm^{2} = 27 \\\\;cm^{2}$$, which<br>\r\nis the required area of shape.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\" 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-0-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\"><strong>What is the difference between the area and perimeter of a shape?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><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-0-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\">\n\n<p class=\"eplus-wrapper\">The area is the region occupied by a closed shape in a two-dimensional plane, whereas the perimeter is the length of the outer boundary of a closed 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-1-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\"><strong>What is the difference between the area of shape and surface area?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><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-1-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\">\n\n<p class=\"eplus-wrapper\">The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles, whereas the surface area is the area of the faces of the solid figures like cubes, cuboids, cone, 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-2-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\"><strong>Can we find the area of an open shape?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><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-2-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\">\n\n<p class=\"eplus-wrapper\">Area of an open shape is not well defined as we cannot define its area from the part the figure is open.<\/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-3-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\"><strong>State one real-life example where we need to calculate area?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><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-3-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\">\n\n<p class=\"eplus-wrapper\">We need to find the area of the floor before putting tiles on them. We need to know about the area of a property before buying it.<\/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-4-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\"><strong>What is the difference between area and volume of a shape?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><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-4-2b4dbdfa-80ac-4cd0-86f5-c973cef807ad\">\n\n<p class=\"eplus-wrapper\">The area is the amount of space occupied by a 2D shape whereas the volume is the space occupied by a 3D shape. The area is measured in square units while the volume is measured in cubic units.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-related-articles\">Related Articles<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\">Area in Math<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-square\">Area of a Square<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">Circle<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Area of a Shape A shape is defined as a figure enclosed by a boundary. We see uncountable objects around us in shapes such as square, rectangle, circle etc.&nbsp; Now, what is this area of shape? Let\u2019s dive deeper into the concept. The area of shape is the space enclosed within the perimeter or the &#8230; <a title=\"Area of a Shape\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-shape\" aria-label=\"More on Area of a Shape\">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-1921","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\/1921","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=1921"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1921\/revisions"}],"predecessor-version":[{"id":37580,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1921\/revisions\/37580"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}