{"id":33400,"date":"2023-08-26T14:07:00","date_gmt":"2023-08-26T14:07:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=33400"},"modified":"2023-08-27T04:22:47","modified_gmt":"2023-08-27T04:22:47","slug":"area-of-trapezium-definition-formulas-derivation-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium","title":{"rendered":"Area of Trapezium &#8211; Definition, Formulas, Derivation, Facts, FAQs"},"content":{"rendered":"<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-5773cbeb-b3b0-47cf-8e4e-1b6360c02ab5\" 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\/area-of-trapezium#0-what-is-the-area-of-trapezium>What Is the Area of Trapezium?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium#1-area-of-trapezium-formula>Area of Trapezium Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium#3-how-to-find-the-area-of-trapezium>How to Find the Area of Trapezium<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium#6-solved-examples-on-the-area-of-trapezium>Solved Examples on the Area of Trapezium<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium#7-practice-problem-on-area-of-trapezium>Practice Problem on Area of Trapezium<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium#8-frequently-asked-questions-about-the-area-of-trapezium>Frequently Asked Questions about the Area of Trapezium<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-area-of-trapezium\">What Is the Area of Trapezium?<\/h2>\n\n\n\n<p><strong>The area of trapezium is the region covered by a trapezium in 2D plane. It is measured in square units. It is given by<\/strong><\/p>\n\n\n\n<p><strong>Area of Trapezium <\/strong>$= \\frac{1}{2}\\times$<strong> Sum of parallel sides <\/strong>$\\times$ <strong>height<\/strong><\/p>\n\n\n\n<p>A trapezium (also known as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/trapezoid\">trapezoid<\/a> in the US) is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\">2D shape<\/a>. To be more specific, it is a quadrilateral as it has 4 sides.<\/p>\n\n\n\n<p>Observe the given diagram.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"387\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/drawing-of-a-trapezium.png\" alt=\"Drawing of a trapezium\" class=\"wp-image-33407\" title=\"Drawing of a trapezium\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/drawing-of-a-trapezium.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/drawing-of-a-trapezium-300x187.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Here are the important parts and terms related to the trapezium PQRS.&nbsp;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Bases of the trapezium:<\/strong> the parallel sides (PQ || RS)<\/li>\n\n\n\n<li><strong>Legs of the trapezium:<\/strong> The non-parallel sides (PS and QR)&nbsp;<\/li>\n\n\n\n<li><strong>Altitude or height of the trapezium:<\/strong> The perpendicular distance between the two parallel sides&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>Here, the area of trapezium is the shaded region. The area of trapezium<strong> <\/strong>depends on the lengths of the parallel sides and the height.<\/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\/determine-the-area-of-rectilinear-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_rectilinear_shapes_pt.png\" alt=\"Determine the Area of Rectilinear Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Area of Rectilinear Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-by-multiplying-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multi_side_length_1_pt.png\" alt=\"Find Area by Multiplying Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area by Multiplying Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-in-square-units\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area in Square Units Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-by-multiplying-the-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multiply_pt.png\" alt=\"Find the Area by Multiplying the Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area by Multiplying the Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-of-shapes-using-unit-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_square_side_length_pt.png\" alt=\"Find the Area of Shapes Using Unit Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area of Shapes Using Unit Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = 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\" id=\"1-area-of-trapezium-formula\">Area of Trapezium Formula<\/h2>\n\n\n\n<p>The formula to calculate the area of the trapezium is given as<\/p>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-693052bf-8b1d-46a1-a3d9-e8dc772d60f5\">\n\n\n<p>Area of Trapezium $= \\frac{1}{2} \\times$Sum of parallel sides $\\times$ height<\/p>\n\n\n<\/div>\n\n\n<p><strong>Area of trapezium <\/strong>$= \\frac{1}{2} \\times (a + b)\\times h$<\/p>\n\n\n\n<p>where<\/p>\n\n\n\n<p>a and b are the lengths of parallel sides,&nbsp;<\/p>\n\n\n\n<p>h is the height (perpendicular distance between the parallel sides)&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"414\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/formula-for-the-area-of-a-trapezium.png\" alt=\"Formula for the area of a trapezium\" class=\"wp-image-33409\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/formula-for-the-area-of-a-trapezium.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/formula-for-the-area-of-a-trapezium-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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 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-equation-for-the-area-model.jpeg\" alt=\"Complete the Equation for 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\/convert-mixed-numbers-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\/convert-mixed-numbers-using-area-models.jpeg\" alt=\"Convert Mixed Numbers 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\/create-area-models-to-multiply-unit-fractions\" 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\/create-area-models-to-multiply-unit-fractions.jpeg\" alt=\"Create 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/create-equivalent-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\/create-equivalent-fractions-using-area-model.jpeg\" alt=\"Create Equivalent 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\/draw-area-models-to-multiply-unit-fractions\" 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\/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\" id=\"2-how-to-derive-the-area-of-trapezium-formula\">How to Derive the Area of Trapezium Formula<\/h2>\n\n\n\n<p>Let\u2019s understand the derivation of the formula or equation for the area of trapezium.&nbsp;<\/p>\n\n\n\n<p>Consider a trapezium ABCD. To find the area of trapezium ABCD, we will divide it into two right triangles and a rectangle, since we know how to calculate the area of these shapes.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/derivation-of-the-area-of-a-trapezium.png\" alt=\"Derivation of the area of a trapezium\" class=\"wp-image-33410\" title=\"Derivation of the area of a trapezium\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/derivation-of-the-area-of-a-trapezium.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/derivation-of-the-area-of-a-trapezium-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Construction:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw a perpendicular AE such that we get a right-angled triangle \u25b3 AED with DE = n units and AE = h units<\/li>\n\n\n\n<li>Draw a perpendicular BF such that \u25b3BFC is a right-angled triangle with FC = n units and BF = h units<\/li>\n<\/ul>\n\n\n\n<p>Note that AEFB is a rectangle formed such that AE = BF = h units and AB = EF = p units.<\/p>\n\n\n\n<p><strong>Area of trapezium ABCD = Area of \u25b3AED + Area of the rectangle AEFB + Area of \u25b3 BFC<\/strong><\/p>\n\n\n\n<p>Area of a triangle is given by&nbsp;<\/p>\n\n\n\n<p><strong>Area of triangle <\/strong>$= \\frac{1}{2} \\times$<strong> base <\/strong>$\\times$<strong> height<\/strong><\/p>\n\n\n\n<p>Area of ADE $= \\frac{1}{2} \\times n \\times h$                &#8212;&#8212;&#8212;- (i)<\/p>\n\n\n\n<p>Area of BFC $= \\frac{1}{2} \\times m \\times h$               &#8212;&#8212;&#8212;- (ii)<\/p>\n\n\n\n<p>Area of the rectangle is given by&nbsp;<\/p>\n\n\n\n<p><strong>Area of rectangle <\/strong>$=$<strong> length <\/strong>$\\times$<strong> breadth<\/strong>&nbsp;<\/p>\n\n\n\n<p>So, the area of the rectangle AEFB is&nbsp;<\/p>\n\n\n\n<p>Area of AEFB $= p \\times h$                                   &#8212;&#8212;&#8212;- (iii)<br><\/p>\n\n\n\n<p>By adding equations (i), (ii), and (iii), we have&nbsp;<\/p>\n\n\n\n<p>Area of trapezium ABCD $= (\\frac{1}{2} \\times n \\times h) + (\\frac{1}{2} \\times m \\times h) + (p \\times h)$<\/p>\n\n\n\n<p>Area of trapezium ABCD $= \\frac{nh}{2} + \\frac{mh}{2} + ph$<\/p>\n\n\n\n<p>Area of trapezium ABCD&nbsp; $= \\frac{nh + mh + 2ph}{2}$<\/p>\n\n\n\n<p>Area of trapezium ABCD $= \\frac{1}{2} \\times h \\times \\left[p + (p + n + m)\\right]$         &#8212;&#8212; (v)<\/p>\n\n\n\n<p>Here, we notice that<\/p>\n\n\n\n<p>CD $= p + n + m$&nbsp;<\/p>\n\n\n\n<p>AB$ = p$<\/p>\n\n\n\n<p>Put the value of q in equation (v).&nbsp;<\/p>\n\n\n\n<p>Area of trapezium ABCD $=&nbsp;\\frac{1}{2} \\times [AB + CD] \\times h$<\/p>\n\n\n\n<p>Area of trapezium ABCD $=&nbsp;\\frac{1}{2} \\times$ Sum of parallel sides$\\times$ height<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-find-the-area-of-trapezium\">How to Find the Area of Trapezium<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Note down the dimensions, such as the lengths of the bases (parallel sides) and the height of the trapezium. Make sure that the dimensions of the trapezium are in the same units. If the dimensions are in different units, then convert them to the same unit.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Calculate the sum of the bases. Multiply the sum by the height.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Multiply the product obtained in Step 2 by $\\frac{1}{2}$ or you can divide the product by 2.<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Write the area in square units (inches\u00b2, feet\u00b2, etc.).&nbsp;<\/p>\n\n\n\n<p>Let\u2019s understand how to find the area of trapezium with an example:<\/p>\n\n\n\n<p><strong>Example: What is the area of trapezium ABCD?&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"393\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/trapezium-ABCD.png\" alt=\"Trapezium ABCD\" class=\"wp-image-33411\" title=\"Trapezium ABCD\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/trapezium-ABCD.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/trapezium-ABCD-300x190.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>AB = a = 1 foot&nbsp;<\/p>\n\n\n\n<p>CD = b = 8 inches<\/p>\n\n\n\n<p>Height = h = 6 inches<\/p>\n\n\n\n<p>Since the dimensions are not in the same unit, we need to convert them to one unit. 1 foot = 12 inches<\/p>\n\n\n\n<p>Therefore, a = 12 inches<\/p>\n\n\n\n<p><strong>Area of trapezium <\/strong>$= \\frac{1}{2} \\times (a + b) \\times h$<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (12 + 8) \\times 6$<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times 20 \\times 6$<\/p>\n\n\n\n<p>Area of trapezium $= 60$ square inches<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-trapezium\">Facts about Trapezium<\/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-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Area of trapezoid formula is also written as&nbsp;<br>$A = \\frac{1}{2} \\times$Sum of parallel sides $\\times$ Distance between the parallel sides<\/li>\n\n\n\n<li>If the legs or the non-parallel sides of a trapezium are of equal length, the trapezium is called an isosceles trapezium.&nbsp;<\/li>\n\n\n\n<li>If all the sides and angles of a trapezium are of different measures, the trapezium is called a scalene trapezium.<\/li>\n\n\n\n<li>The line segment connecting the midpoints of the non-parallel sides (legs) of a trapezoid is called the mid-segment. It is parallel to the bases.<\/li>\n\n\n\n<li>There are different definitions of trapezium and trapezoid in different regions.&nbsp;<\/li>\n\n\n\n<li>In the US (some regions), a trapezoid is defined as a quadrilateral with at least one pair of parallel sides, while a trapezium is defined as a quadrilateral with no parallel sides.<\/li>\n\n\n\n<li>In the UK, a trapezium is defined as a quadrilateral with at least one pair of parallel sides, which aligns with the American definition of a trapezoid.<\/li>\n\n\n\n<li>In Canada, a trapezoid has an inclusive definition in that it\u2019s a four sided-polygon with at least one pair of parallel sides. It is considered as an inclusive definition, since it makes a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram\">parallelogram<\/a> a special trapezium\/trapezoid.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>A trapezium is a simple yet interesting shape in geometry. The concept of the area of trapezium is used in many physics concepts and also in construction projects. Get a better grasp of the concept with the help of examples and practice questions and excel in your math tests.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-the-area-of-trapezium\">Solved Examples on the Area of Trapezium<\/h2>\n\n\n\n<p><strong>1. A trapezium has base lengths a = 22 inches and b = 26 inches respectively. The distance between them is 18 inches. Find the area of trapezium.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>a = 22 inches<\/p>\n\n\n\n<p>b = 26 inches<\/p>\n\n\n\n<p>Distance between parallel sides = h = 18 inches<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h$<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (22 + 26) \\times 18$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{1}{2} \\times 48 \\times 18$<\/p>\n\n\n\n<p>Area of trapezium $= 432$ inches\u00b2<\/p>\n\n\n\n<p><strong>2. The area of the given trapezium is 352 feet\u00b2. Find the value of a.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"293\" height=\"176\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/trapezium-with-height-16-feet-and-one-side-of-25-feet.png\" alt=\"Trapezium with height 16 feet and one side of 25 feet\" class=\"wp-image-33412\" title=\"Trapezium with height 16 feet and one side of 25 feet\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>a = ?<\/p>\n\n\n\n<p>b = 25 feet<\/p>\n\n\n\n<p>h = 16 feet<\/p>\n\n\n\n<p>Area of trapezium = 352 square feet<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h$<\/p>\n\n\n\n<p>$352 = \\frac{1}{2} \\times (a + 25) \\times 16$<\/p>\n\n\n\n<p>$(a + 25) = \\frac{352 \\times 2}{16}$<\/p>\n\n\n\n<p>$(a + 25) = 44$<\/p>\n\n\n\n<p>a = 19 inches<\/p>\n\n\n\n<p><strong>3. Find the altitude of a trapezium whose area is 85 feet\u00b2 and the length of the parallel sides are 15 feet and 25 feet, respectively.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Using the value of the <strong>area of a trapezium when height is not given<\/strong>, the calculations will be as follows:<\/p>\n\n\n\n<p>a = 15 feet&nbsp;<\/p>\n\n\n\n<p>b = 25 feet<\/p>\n\n\n\n<p>Area = 85 feet\u00b2<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h$<\/p>\n\n\n\n<p>$85 = \\frac{1}{2} \\times (15 + 25) \\times h$<\/p>\n\n\n\n<p>$h =&nbsp; \\frac{85\\times 2}{(15 + 25)}$<\/p>\n\n\n\n<p>$h =&nbsp;\\frac{85\\times 2}{40}$<\/p>\n\n\n\n<p>h = 4.25 feet<\/p>\n\n\n\n<p>Therefore, the altitude is 4.25 feet.<\/p>\n\n\n\n<p><strong>4.<\/strong> <strong>The area of a trapezium is 360 inches\u00b2, and the distance between its sides is 20 inches. If the length of one of the sides is 15 inches, find the length of the other side.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>a = 15 inches<\/p>\n\n\n\n<p>h = 20 inches<\/p>\n\n\n\n<p>Area = 360 inches\u00b2<\/p>\n\n\n\n<p>Let the other side be x inches&nbsp;<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h$<\/p>\n\n\n\n<p>$360 = \\frac{1}{2} \\times (15 + x) \\times 20$<\/p>\n\n\n\n<p>$360 = (15 + x) \\times 10$<\/p>\n\n\n\n<p>$360 = 150 + 10x$<\/p>\n\n\n\n<p>$10x = 360 \\;-\\; 150$<\/p>\n\n\n\n<p>$x =&nbsp; \\frac{210}{10}$<\/p>\n\n\n\n<p>x = 21 inches<\/p>\n\n\n\n<p>Therefore, the other side of the trapezium is 21 inches.<\/p>\n\n\n\n<p><strong>5.<\/strong> <strong>The length of the two bases of a trapezium is in the ratio 5:2, and the height between them is 10 inches. If the area of the trapezium is 350 inches\u00b2, find the length of the parallel sides.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let the length of the sides be a = 5x, b = 2x.<\/p>\n\n\n\n<p>h = 10 inches<\/p>\n\n\n\n<p>Area = 350 inches\u00b2&nbsp;<\/p>\n\n\n\n<p>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h$<\/p>\n\n\n\n<p>$350 = \\frac{1}{2} \\times (5x + 2x) \\times 10$<\/p>\n\n\n\n<p>$350 = 7x \\times 5$<\/p>\n\n\n\n<p>$350 = 35x$<\/p>\n\n\n\n<p>$x = \\frac{350}{35}$<\/p>\n\n\n\n<p>$x = 10$<\/p>\n\n\n\n<p>Therefore,&nbsp;<\/p>\n\n\n\n<p>$a = 5x = 5 \\times 10 = 50$ inches&nbsp;<\/p>\n\n\n\n<p>$b = 2x = 2 \\times 10 = 20$ inches&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problem-on-area-of-trapezium\">Practice Problem on Area of Trapezium<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area of Trapezium - Definition, Formulas, Derivation, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The sum of the two parallel sides of a trapezium is 44 inches and the distance between them is 20 inches. Find the area of trapezium.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">320 inches\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"1\">400 inches\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"2\">440 inches\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"3\">560 inches\u00b2<\/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: 440 inches\u00b2<br\/>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h =$ Area of trapezium $= \\frac{1}{2} \\times 44 \\times 20 = 440$ square inches<\/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\">In a trapezium, the lengths of parallel sides are a = 12 feet, b = 18 feet. The height of the trapezium is 25 feet. Find the area.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">225 square feet<\/div><div class=\"spq_answer_block\" data-value=\"1\">174 square feet<\/div><div class=\"spq_answer_block\" data-value=\"2\">155 square feet<\/div><div class=\"spq_answer_block\" data-value=\"3\">375 square feet<\/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: 375 square feet<br\/>Area of trapezium $= \\frac{1}{2} \\times (a + b) \\times h$<br>\r\nArea of trapezium $= \\frac{1}{2} \\times (12 + 18) \\times 25 = 375$ feet\u00b2<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The area of a trapezium $= \\frac{1}{2} \\times$ _______ $\\times$ height<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">perimeter<\/div><div class=\"spq_answer_block\" data-value=\"1\">sum of parallel sides<\/div><div class=\"spq_answer_block\" data-value=\"2\">product of parallel sides<\/div><div class=\"spq_answer_block\" data-value=\"3\">sum of legs<\/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: sum of parallel sides<br\/>Area of a trapezium is given by $\\frac{1}{2} \\times$ sum of parallel sides $\\times$ height.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The sides of a trapezium are p units and q units, and the altitude is l units. What will be the area of the trapezium? <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{p}{ql}$ units\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2 \\times (p + q) \\times l$ units\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{(p \\times q) + l}{2}$  units\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{(p + q) \\times l}{2}$ units\u00b2<\/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: $\\frac{(p + q) \\times l}{2}$ units\u00b2<br\/>Area of a trapezium $= \\frac{1}{2} \\times$ sum of parallel sides $\\times$ height $= \\frac{(p + q) \\times l}{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The area of a trapezium is 128 inches\u00b2. Find the height if the lengths of the bases are 18 inches and 14 inches.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">8 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">6 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">12 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: 8 inches<br\/>$128 =  \\frac{1}{2} \\times (18 + 14) \\times h$<br>\r\nThus, $h = 8$ in<\/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 Trapezium - Definition, Formulas, Derivation, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area of Trapezium\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The sum of the two parallel sides of a trapezium is 44 inches and the distance between them is 20 inches. Find the area of trapezium.\",\n                    \"text\": \"The sum of the two parallel sides of a trapezium is 44 inches and the distance between them is 20 inches. Find the area of trapezium.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h =$$ Area of trapezium $$= \\\\frac{1}{2} \\\\times 44 \\\\times 20 = 440$$ square inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"320 inches\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h =$$ Area of trapezium $$= \\\\frac{1}{2} \\\\times 44 \\\\times 20 = 440$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"400 inches\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h =$$ Area of trapezium $$= \\\\frac{1}{2} \\\\times 44 \\\\times 20 = 440$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"560 inches\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h =$$ Area of trapezium $$= \\\\frac{1}{2} \\\\times 44 \\\\times 20 = 440$$ square inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"440 inches\u00b2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h =$$ Area of trapezium $$= \\\\frac{1}{2} \\\\times 44 \\\\times 20 = 440$$ square inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h =$$ Area of trapezium $$= \\\\frac{1}{2} \\\\times 44 \\\\times 20 = 440$$ square inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a trapezium, the lengths of parallel sides are a = 12 feet, b = 18 feet. The height of the trapezium is 25 feet. Find the area.\",\n                    \"text\": \"In a trapezium, the lengths of parallel sides are a = 12 feet, b = 18 feet. The height of the trapezium is 25 feet. Find the area.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h$$<br>\r\nArea of trapezium $$= \\\\frac{1}{2} \\\\times (12 + 18) \\\\times 25 = 375$$ feet\u00b2\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"225 square feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h$$<br>\r\nArea of trapezium $$= \\\\frac{1}{2} \\\\times (12 + 18) \\\\times 25 = 375$$ feet\u00b2\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"174 square feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h$$<br>\r\nArea of trapezium $$= \\\\frac{1}{2} \\\\times (12 + 18) \\\\times 25 = 375$$ feet\u00b2\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"155 square feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h$$<br>\r\nArea of trapezium $$= \\\\frac{1}{2} \\\\times (12 + 18) \\\\times 25 = 375$$ feet\u00b2\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"375 square feet\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h$$<br>\r\nArea of trapezium $$= \\\\frac{1}{2} \\\\times (12 + 18) \\\\times 25 = 375$$ feet\u00b2\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of trapezium $$= \\\\frac{1}{2} \\\\times (a + b) \\\\times h$$<br>\r\nArea of trapezium $$= \\\\frac{1}{2} \\\\times (12 + 18) \\\\times 25 = 375$$ feet\u00b2\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ _______ $$\\\\times$$ height\",\n                    \"text\": \"The area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ _______ $$\\\\times$$ height\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of a trapezium is given by $$\\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"perimeter\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a trapezium is given by $$\\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"product of parallel sides\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a trapezium is given by $$\\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"sum of legs\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a trapezium is given by $$\\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"sum of parallel sides\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of a trapezium is given by $$\\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of a trapezium is given by $$\\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The sides of a trapezium are p units and q units, and the altitude is l units. What will be the area of the trapezium? \",\n                    \"text\": \"The sides of a trapezium are p units and q units, and the altitude is l units. What will be the area of the trapezium? \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height $$= \\\\frac{(p + q) \\\\times l}{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{p}{ql}$$ units\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height $$= \\\\frac{(p + q) \\\\times l}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2 \\\\times (p + q) \\\\times l$$ units\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height $$= \\\\frac{(p + q) \\\\times l}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{(p \\\\times q) + l}{2}$$  units\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height $$= \\\\frac{(p + q) \\\\times l}{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{(p + q) \\\\times l}{2}$$ units\u00b2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height $$= \\\\frac{(p + q) \\\\times l}{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of a trapezium $$= \\\\frac{1}{2} \\\\times$$ sum of parallel sides $$\\\\times$$ height $$= \\\\frac{(p + q) \\\\times l}{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a trapezium is 128 inches\u00b2. Find the height if the lengths of the bases are 18 inches and 14 inches.\",\n                    \"text\": \"The area of a trapezium is 128 inches\u00b2. Find the height if the lengths of the bases are 18 inches and 14 inches.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$128 =  \\\\frac{1}{2} \\\\times (18 + 14) \\\\times h$$<br>\r\nThus, $$h = 8$$ in\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$128 =  \\\\frac{1}{2} \\\\times (18 + 14) \\\\times h$$<br>\r\nThus, $$h = 8$$ in\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$128 =  \\\\frac{1}{2} \\\\times (18 + 14) \\\\times h$$<br>\r\nThus, $$h = 8$$ in\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$128 =  \\\\frac{1}{2} \\\\times (18 + 14) \\\\times h$$<br>\r\nThus, $$h = 8$$ in\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"8 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$128 =  \\\\frac{1}{2} \\\\times (18 + 14) \\\\times h$$<br>\r\nThus, $$h = 8$$ in\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$128 =  \\\\frac{1}{2} \\\\times (18 + 14) \\\\times h$$<br>\r\nThus, $$h = 8$$ in\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-the-area-of-trapezium\">Frequently Asked Questions about the Area of Trapezium<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b91498fa-6f63-4714-85b7-84fb2ae30cac\" 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-b91498fa-6f63-4714-85b7-84fb2ae30cac\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b91498fa-6f63-4714-85b7-84fb2ae30cac\"><strong>What are the types of trapezium?<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\">\n\n<p>There are three types of trapezium, namely scalene, isosceles and right trapezium.<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b91498fa-6f63-4714-85b7-84fb2ae30cac\"><strong>Why is a parallelogram called a trapezium?<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\">\n\n<p>A trapezium should consist of at least one pair of parallel sides whereas a parallelogram consists of two pairs of parallel sides. So, a parallelogram can be a trapezium.<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b91498fa-6f63-4714-85b7-84fb2ae30cac\"><strong>How do you find the area of a trapezium when height is not given?<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\">\n\n<p>If the height is not given but the length of all the sides of the trapezium is known, divide the trapezium into two right triangles and a rectangle. Find the individual areas and add them together to find the area of the trapezium.<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b91498fa-6f63-4714-85b7-84fb2ae30cac\"><strong>What happens if the pair of opposite sides of a trapezium are equal?<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\">\n\n<p>It becomes a parallelogram.<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b91498fa-6f63-4714-85b7-84fb2ae30cac\"><strong>Are all trapeziums cyclic?<\/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-b91498fa-6f63-4714-85b7-84fb2ae30cac\">\n\n<p>A trapezium is cyclic only if it is an isosceles trapezium.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Area of Trapezium? The area of trapezium is the region covered by a trapezium in 2D plane. It is measured in square units. It is given by Area of Trapezium $= \\frac{1}{2}\\times$ Sum of parallel sides $\\times$ height A trapezium (also known as trapezoid in the US) is a 2D shape. To &#8230; <a title=\"Area of Trapezium &#8211; Definition, Formulas, Derivation, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-trapezium\" aria-label=\"More on Area of Trapezium &#8211; Definition, Formulas, Derivation, Facts, FAQs\">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-33400","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\/33400","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=33400"}],"version-history":[{"count":7,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33400\/revisions"}],"predecessor-version":[{"id":33416,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33400\/revisions\/33416"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=33400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=33400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=33400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}