{"id":1902,"date":"2022-04-25T07:00:52","date_gmt":"2022-04-25T07:00:52","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1902"},"modified":"2024-03-15T06:52:59","modified_gmt":"2024-03-15T06:52:59","slug":"area-of-a-quadrilateral-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral","title":{"rendered":"Area of a Quadrilateral &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-32ab2091-3740-421a-8b5a-6d7a1d5803be\" 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-a-quadrilateral#0-what-is-area-of-a-quadrilateral>What is Area of a Quadrilateral?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral#3-area-of-a-parallelogram->Area of a Parallelogram&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral#4-area-of-a-rhombus->Area of a Rhombus<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral#5-area-of-a-square->Area of a Square<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral#6-area-of-a-rectangle->Area of a Rectangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral#9-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral#10-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-area-of-a-quadrilateral\">What is Area of a Quadrilateral?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrilateral\" target=\"_blank\" rel=\"noreferrer noopener\">quadrilateral<\/a>&nbsp;is a&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" target=\"_blank\" rel=\"noreferrer noopener\">polygon<\/a>&nbsp;we obtain by joining four vertices, and it has four sides and four angles. There are two types of quadrilaterals\u2060 \u2014 regular and irregular quadrilaterals. Some examples of the quadrilaterals are square, rectangle, rhombus, trapezium, and parallelogram.The area of a polygon refers to the space occupied by the flat shape. It is the combined sum of the area of the regular and irregular triangles within.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-measuring-the-area-of-a-quadrilateral\">Measuring the area of a quadrilateral<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To evaluate the area of a quadrilateral, we divide it into two basic geometric figures, such as&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noreferrer noopener\">triangles<\/a>. Then we find the area of the two individual triangles using the formula and add these areas to find the area of the quadrilateral.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"2-calculating-the-area-of-a-quadrilateral\">Calculating the area of a quadrilateral<\/h3>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Draw a diagonal AC connecting two opposite vertices of the quadrilateral ABCD.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Draw a perpendicular each from the other two vertices&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp; &nbsp; &nbsp; &nbsp; (B and D) on the diagonal AC.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The area of the quadrilateral will be:<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Area of quadrilateral ABCD = Area of \u25b3ABC + Area of \u25b3ADC<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; So, area of quadrilateral ABCD = (\u00bd \u00d7 AC \u00d7 BE) + (\u00bd \u00d7 AC \u00d7 DF)&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/calculating-the-area-of-a-quadrilateral.png\" alt=\"calculating the area of a quadrilateral\" class=\"wp-image-41008\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/calculating-the-area-of-a-quadrilateral.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/calculating-the-area-of-a-quadrilateral-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can calculate the area of different types of quadrilaterals by using the given formula. For the quadrilateral ABCD, if we use centimeter as the unit of measurement, the unit of measure for the area will be cm<sup>2<\/sup>&nbsp;.&nbsp;<\/p>\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\/classify-quadrilaterals-in-different-orientation\" 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_rhombus_parallelogram_orientation_pt.png\" alt=\"Classify Quadrilaterals in Different Orientation 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 Quadrilaterals in Different Orientation 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><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 = slidesContainer.querySelectorAll(\".game-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=\"3-area-of-a-parallelogram-\">Area of a Parallelogram&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To evaluate the area of a parallelogram, draw a perpendicular from one of the vertices to the base. This perpendicular is the height. Thus, the area will be the product of base and height.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-parallelogram.png\" alt=\"area of a parallelogram \" class=\"wp-image-41010\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-parallelogram.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-parallelogram-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Area of parallelogram = base x height<\/strong>Area = 12 \u00d7 6 = 72 cm&nbsp;<\/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-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\/compare-fractions-using-area-model\" 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\/compare-fractions-using-area-model.jpeg\" alt=\"Compare Fractions Using Area Model 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\/complete-the-area-model\" 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\/complete-the-area-model.jpeg\" alt=\"Complete the Area Model 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\/complete-the-equation-for-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div 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src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/draw-area-models-to-multiply-unit-fractions.jpeg\" alt=\"Draw Area Models to Multiply Unit Fractions 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><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=\"4-area-of-a-rhombus-\"><strong>Area of a Rhombus<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the area of a rhombus, we divide the quadrilateral into two equal isosceles triangles using the two diagonals. In the given rhombus ABCD, the point of intersection of these diagonals is E. Thus the area of the rhombus is:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-rhombus.png\" alt=\"area of a rhombus\" class=\"wp-image-41011\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-rhombus.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-rhombus-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp; &nbsp; &nbsp; Area of rhombus ABCD = Area of \u25b3ABC + Area of \u25b3ADC<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u27f9&nbsp; Area of rhombus ABCD = (\u00bd x AC x BE) + (\u00bd x AC x ED)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u27f9&nbsp; Area of rhombus ABCD&nbsp; = \u00bd x AC (BE + ED)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u27f9&nbsp; Area of rhombus ABCD = \u00bd x AC x BD<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-area-of-a-square-\"><strong>Area of a Square<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using this relationship we can also find the&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-square\" target=\"_blank\" rel=\"noreferrer noopener\">area of a square<\/a>&nbsp;ABCD&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-square.png\" alt=\"area of a square\" class=\"wp-image-41012\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-square.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-square-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area of square ABCD = Area of \u25b3ABC&nbsp; + Area of \u25b3BCD<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u27f9 Area of \u25b3ABC&nbsp; = \u00bd * AC * AB<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u27f9 Area of \u25b3ABC&nbsp; = \u00bd * AC * AC (as AC = AB)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u27f9 Area of \u25b3ABC&nbsp; = \u00bd * AC2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly, Area of \u25b3BCD&nbsp; = \u00bd * CD2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since, AC = CD, Area of \u25b3BCD&nbsp; will be \u00bd * AC2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, area of square ABCD&nbsp; = 2 * (\u00bd * AC2) = AC2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Hence, Area of square ABCD is the square of the side.&nbsp;<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-area-of-a-rectangle-\"><strong>Area of a Rectangle<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-rectangle\" target=\"_blank\" rel=\"noreferrer noopener\">area of a rectangle<\/a>&nbsp;using the above formula will yield the product of its two adjacent sides, base and height. We represent it as:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-rectangle.png\" alt=\"area of a rectangle\" class=\"wp-image-41013\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-rectangle.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/area-of-a-rectangle-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Area (ABCD) = AB x BC<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-application-\"><strong>Application<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The real-life application of quadrilaterals and its area are highly useful in the fields of design, agriculture, and architecture. The concept is highly useful in the advanced designing of navigation maps scaled to actual distances and areas with precision.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/real-life-application-of-quadrilaterals.png\" alt=\"real-life application of quadrilaterals\" class=\"wp-image-41014\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/real-life-application-of-quadrilaterals.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/real-life-application-of-quadrilaterals-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The area covered by a quadrilateral formed by joining four different places on a map<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-fun-facts\">Fun Facts<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ol class=\"wp-block-list\">\n<li>The term quadrilateral is a combination of words Quadri + Lateral which means \u201cfour sides\u201d.<\/li>\n\n\n\n<li>Except for squares, all the quadrilaterals are irregular quadrilaterals. They are also known as \u201cQuadrangle\u201d and \u201cTetragon\u201d (four and a polygon).<\/li>\n\n\n\n<li>The sum of all the angles within a quadrilateral is always 360\u00b0.<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"9-related-math-vocabulary-\"><strong>Related Math Vocabulary<\/strong><\/h3>\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\/diagonal\" target=\"_blank\" rel=\"noreferrer noopener\">Diagonal<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular\" target=\"_blank\" rel=\"noreferrer noopener\">Perpendicular<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/base\" target=\"_blank\" rel=\"noreferrer noopener\">Base<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/height\" target=\"_blank\" rel=\"noreferrer noopener\">Height<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area of a Quadrilateral<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The area of a parallelogram with a base of 5 units is 30 square units. What is the height of the parallelogram?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">6 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">10 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">12 units<\/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: 6 units<br\/>The area of a parallelogram is base \u2715 height. <br>\r\nSo, the height of the parallelogram = area\/base, <br>\r\ni.e., 30 square units\/5 units or 6 units.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The area of a rhombus with a diagonal of length 8 cm is 24 square cm. What is the length of the other diagonal?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">3 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">6 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: 6 cm<br\/>The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 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 7 cm and a height of 8 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15 square cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">28 square cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">30 square cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">56 square 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: 56 square cm<br\/>The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the area of a rhombus with diagonals 6 units and 9 units?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15 square units<\/div><div class=\"spq_answer_block\" data-value=\"1\">27 square units<\/div><div class=\"spq_answer_block\" data-value=\"2\">30 square units<\/div><div class=\"spq_answer_block\" data-value=\"3\">54 square units<\/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 square units<br\/>The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.<\/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 of a Quadrilateral\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area of a Quadrilateral\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a parallelogram with a base of 5 units is 30 square units. 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What is the length of the other diagonal?\",\n                    \"text\": \"The area of a rhombus with a diagonal of length 8 cm is 24 square cm. What is the length of the other diagonal?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals. <br>\r\nSo, the length of other diagonal = (2 \u2715 area)\/first diagonal, <br>\r\ni.e., (2 \u2715 24 square cm)\/8 cm = 6 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 7 cm and a height of 8 cm?\",\n                    \"text\": \"What is the area of a parallelogram with a base of 7 cm and a height of 8 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"28 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"56 square cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The area of a parallelogram is base \u2715 height, <br>\r\ni.e., 7 cm \u2715 8 cm or 56 square cm.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a rhombus with diagonals 6 units and 9 units?\",\n                    \"text\": \"What is the area of a rhombus with diagonals 6 units and 9 units?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"54 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"27 square units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The area of a rhombus is 1\/2 \u2715 product of diagonals, <br>\r\ni.e., 1\/2 \u2715 6 units \u2715 9 units or 27 square units.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-8f761849 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=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e5738390-2ffe-424e-b670-546cb8df8c14\" 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-e5738390-2ffe-424e-b670-546cb8df8c14\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e5738390-2ffe-424e-b670-546cb8df8c14\"><strong>How to find the area of a quadrilateral?<\/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-e5738390-2ffe-424e-b670-546cb8df8c14\">\n\n<p class=\"wp-block-paragraph\">To find the area of a quadrilateral, divide it into two triangles using a diagonal. Then calculate the area of each triangle and add them up.<\/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-e5738390-2ffe-424e-b670-546cb8df8c14\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e5738390-2ffe-424e-b670-546cb8df8c14\"><strong>What is the formula to find the area of a quadrilateral?<\/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-e5738390-2ffe-424e-b670-546cb8df8c14\">\n\n<p class=\"wp-block-paragraph\">Area of the Quadrilateral = (1\/2) \u00d7 d \u00d7 (h1 + h2). Here, d = diagonal of the quadrilateral, h1, h2 = heights of the triangles created on either side of the diagonal (d)<\/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-e5738390-2ffe-424e-b670-546cb8df8c14\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e5738390-2ffe-424e-b670-546cb8df8c14\"><strong>What is the unit of the area of a quadrilateral?<\/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-e5738390-2ffe-424e-b670-546cb8df8c14\">\n\n<p class=\"wp-block-paragraph\">The unit of area of a quadrilateral is the same as other shapes, that is, square units of length (square meter, square inches, 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-e5738390-2ffe-424e-b670-546cb8df8c14\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e5738390-2ffe-424e-b670-546cb8df8c14\"><strong>What is the formula to find the area of special quadrilaterals?<\/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-e5738390-2ffe-424e-b670-546cb8df8c14\">\n\n<p class=\"wp-block-paragraph\">These are the formulas to find the area of special quadrilaterals: &#8211; Area of a Square = side \u00d7 side &#8211; Area of a Rectangle = length \u00d7 width &#8211; Area of a Parallelogram = base \u00d7 height &#8211; Area of a Trapezoid = 1\/2 \u00d7 (base1 + base2) \u00d7 height &#8211; Area of a Rhombus = 1\/2 \u00d7 diagonal1 \u00d7 diagonal2 &#8211; Area of a Kite = 1\/2 \u00d7 diagonal1 \u00d7 diagonal2<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is Area of a Quadrilateral? A&nbsp;quadrilateral&nbsp;is a&nbsp;polygon&nbsp;we obtain by joining four vertices, and it has four sides and four angles. There are two types of quadrilaterals\u2060 \u2014 regular and irregular quadrilaterals. Some examples of the quadrilaterals are square, rectangle, rhombus, trapezium, and parallelogram.The area of a polygon refers to the space occupied by the &#8230; <a title=\"Area of a Quadrilateral &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-of-a-quadrilateral\" aria-label=\"More on Area of a Quadrilateral &#8211; Definition with 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-1902","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\/1902","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=1902"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1902\/revisions"}],"predecessor-version":[{"id":41016,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1902\/revisions\/41016"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1902"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1902"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}