{"id":1475,"date":"2022-04-19T10:57:02","date_gmt":"2022-04-19T10:57:02","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1475"},"modified":"2023-09-19T08:35:49","modified_gmt":"2023-09-19T08:35:49","slug":"1475-2","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area-of-irregular-shapes","title":{"rendered":"Area of Irregular Shapes \u2013 Definition, Facts, Examples, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-d3b65722-8e83-4833-9944-98ca534ce900\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area-of-irregular-shapes#0-area-of-irregular-shapes>Area of Irregular Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area-of-irregular-shapes#1-related-math-vocabulary>Related Math Vocabulary<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area-of-irregular-shapes#2-practice-problems-on-area-of-irregular-shapes>Practice Problems On Area of Irregular Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area-of-irregular-shapes#3-frequently-asked-questions-on-area-of-irregular-shapes>Frequently Asked Questions On Area of Irregular Shapes<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-area-of-irregular-shapes\">Area of Irregular Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Irregular shapes are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" target=\"_blank\" rel=\"noopener\" title=\"\">polygons<\/a> with five or more sides of varying lengths. These <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\" target=\"_blank\" rel=\"noopener\" title=\"\">shapes<\/a> or figures can be decomposed further into triangles, squares, and quadrilaterals to evaluate the area.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Some examples of irregular shapes are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725753_7-01.png\" alt=\"Daily life objects with irregular shapes \" title=\"Daily life objects with irregular shapes \"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Calculating the area of irregular shapes:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The approaches to estimating the area of irregular shape are:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Evaluating area using unit squares&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Apply this technique for the shapes with curves apart from perfect circle or semicircles and irregular quadrilaterals. In this method, divide the shape into unit squares. The total number of unit squares falling within the shape determines the total area.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725752_2-01.png\" alt=\"Some examples of irregular shapes\" title=\"Some examples of irregular shapes\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Count the square as \u201c1\u201d if the shaded region covers more than half while calculating the area for a more accurate estimate.<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725752_1-01.png\" alt=\"For the irregular shape, count the squares with orange and yellow coding as 1.\" title=\"For the irregular shape, count the squares with orange and yellow coding as 1.\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the following figure, calculate the area by counting the unit squares, which is 6. If we denote each unit square in <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/centimeter\" target=\"_blank\" rel=\"noopener\" title=\"\">centimeter<\/a>, the area will be 6 cm2.<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725752_3-01.png\" alt=\"Figure: Calculating the area of an irregular shape with curved edges \" title=\"Figure: Calculating the area of an irregular shape with curved edges \"\/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Dividing the irregular shape in two or more regular shapes&nbsp;<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Use this method for irregular shapes, which are a combination of triangles and polygons. Use predefined formulas to calculate the area of such shapes and add them together to obtain the total area.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, an irregular shape we divide multiple edges into a triangle and three polygons.<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725752_4-01.png\" alt=\"Dividing the irregular shape in two or more regular shapes\" title=\"Dividing the irregular shape in two or more regular shapes\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The total area of the figure is given as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 Area = Area (ABIM) + Area (BCGH) + Area (CDEF) + Area (JKL)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 Area = (AB \u00d7 BI) + (BC \u00d7 CG) + (CD \u00d7 DE) + (<sup>1<\/sup>\u2044<sub>2<\/sub>\u00d7 LJ \u00d7 KO)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 Area = ( 10 \u00d7 5) + (3 \u00d7 3) + (2 \u00d7 2) + (<sup>1<\/sup>\u2044<sub>2<\/sub>\u00d7 4 \u00d7 4)&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 Area = 50 + 9 + 4 + 8<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 Area = 71 cm2<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Dividing the irregular shape with curves in two or more regular shapes<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">In this method, decompose an irregular shape into multiple squares, triangles, or other <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrilateral\" target=\"_blank\" rel=\"noopener\" title=\"\">quadrilaterals<\/a>. Depending on the shape and curves, a part of the figure can be a circle, semicircle or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrant\" target=\"_blank\" rel=\"noopener\" title=\"\">quadrant<\/a> as well.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The following figure is an irregular shape with 8 sides, including one curve. Determine the unknown quantities by the given dimensions for the sides. Decompose the figure into two rectangles and a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/half-circle\" target=\"_blank\" rel=\"noopener\" title=\"\">semicircle<\/a>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The area of the shape ABCDEF is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area (ABCDEF) = Area (ABCG) + Area (GDEF) + Area (aob)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = (AB \u00d7 AG) + (GD \u00d7 DE) + (<sup>1<\/sup>\u2044<sub>2<\/sub> \u00d7 \u03c0 \u00d7 ob<sup>2<\/sup>)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = (3 \u00d7 4) + (10 \u00d7 4) + (<sup>1<\/sup>\u2044<sub>2 <\/sub>\u00d7 3.14 \u00d7 1<sup>2<\/sup>)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = 12 + 40 + 1.57<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = 53.57 cm<sup>2<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725753_5-01.png\" alt=\"Dividing the irregular shape with curves in two or more regular shapes\" title=\"Dividing the irregular shape with curves in two or more regular shapes\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Application<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The estimation of area for irregular figures is an essential method for drawing maps, building architecture, and marking agricultural fields. We apply the concept in the cutting of fabrics as per the given design. In higher grades, the technique lays a basis for advanced topics such as calculating <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/volume\" target=\"_blank\" rel=\"noopener\" title=\"\">volume<\/a>, drawing conic sections and figures with elliptical shapes.<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Fun Fact<\/strong><br>&#8211; Tangram polygons are ancient examples of geometric shapes and can create more than 6500 shapes.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/97e0fe96121d48dc9f6f86f0cb19f367\/1564725753_6-01.png\" alt=\"irregular shape\" title=\"irregular shape\"\/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-to-find-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_find_area_pt.png\" alt=\"Add to Find the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add to Find the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-of-composite-figure\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_10_gm.png\" alt=\"Area of Composite Figure Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area of Composite Figure Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area with Unit Squares and Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_3_4_5_gm.png\" alt=\"Build the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Build the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-fact-related-to-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_check_statement_pt.png\" alt=\"Choose the Correct Fact Related to Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Fact Related to Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-shapes-according-to-their-hierarchy\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_whr_does_shape_belong_pt.png\" alt=\"Classify Shapes According to their Hierarchy Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Shapes According to their Hierarchy Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-shapes-according-to-their-subcategories\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_sub_cat_of_shapes_pt.png\" alt=\"Classify Shapes According to their Subcategories Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Shapes According to their Subcategories Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-attributes-of-the-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_shapes_to_attribute_pt.png\" alt=\"Complete the Attributes of the 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\">Complete the Attributes of the 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\/compose-objects-from-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_compose_shapes_pt.png\" alt=\"Compose Objects from 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\">Compose Objects from 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                    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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-related-math-vocabulary\">Related Math Vocabulary<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\" target=\"_blank\" rel=\"noopener\" title=\"\">Square<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" target=\"_blank\" rel=\"noopener\" title=\"\">Rectangle<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">Triangle<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\" target=\"_blank\" rel=\"noopener\" title=\"\">Circle<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\" target=\"_blank\" rel=\"noopener\" title=\"\">Area<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\">Irregular and regular shapes<\/li>\n<\/ul>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-color-shapes-within-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-color-shapes-within-10.jpeg\" alt=\"Add and Color Shapes (Within 10)\">\r\n\t    <\/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-and-color-shapes-within-3\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-color-shapes-within-3.jpeg\" alt=\"Add and Color Shapes (Within 3)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-color-shapes-within-5\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-color-shapes-within-5.jpeg\" alt=\"Add and Color Shapes (Within 5)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/classify-shapes-as-flats-or-solids\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/classify-shapes-as-flats-or-solids.jpeg\" alt=\"Classify Shapes as Flats or Solids Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/color-and-add-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/color-and-add-shapes.jpeg\" alt=\"Color and Add Shapes\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/color-shapes-sum-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/color-shapes-sum-10.jpeg\" alt=\"Color Shapes (Sum 10)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/color-shapes-sum-3\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/color-shapes-sum-3.jpeg\" alt=\"Color Shapes (Sum 3)\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-practice-problems-on-area-of-irregular-shapes\">Practice Problems On Area of Irregular Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area of Irregular Shapes<\/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\">A leaf was traced on a graph paper. It has 10 squares fully covered, 12 squares are covered more than half and 14 squares are covered less than half. What will be the area of the leaf?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">29 square units<\/div><div class=\"spq_answer_block\" data-value=\"1\">16 square units<\/div><div class=\"spq_answer_block\" data-value=\"2\">22 square units<\/div><div class=\"spq_answer_block\" data-value=\"3\">23 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: 22 square units<br\/>The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$ square units.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the area of a field that is shaped like 2 rectangles with the following measurements: Rectangle 1: l = 5, w = 6 Rectangle 2: l = 8, w = 5<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">48 square cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">24 square cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">70 square cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 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: 70 square cm<br\/>Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.<\/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\">To find the area of an irregular shape, we first break the irregular shape into common shapes. Then we find the area of each shape and ___ them.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Multiply<\/div><div class=\"spq_answer_block\" data-value=\"1\">Add<\/div><div class=\"spq_answer_block\" data-value=\"2\">Subtract<\/div><div class=\"spq_answer_block\" data-value=\"3\">Divide<\/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: Add<br\/>To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.<\/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 an irregular polygon made of 2 squares with the following measurements? Square 1: side = 5 cm Square 2: side = 3 cm<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">25 square cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">34 square cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">9 square cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">16 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: 34 square cm<br\/>Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.<\/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 Irregular Shapes\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area of Irregular Shapes\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A leaf was traced on a graph paper. It has 10 squares fully covered, 12 squares are covered more than half and 14 squares are covered less than half. What will be the area of the leaf?\",\n                    \"text\": \"A leaf was traced on a graph paper. It has 10 squares fully covered, 12 squares are covered more than half and 14 squares are covered less than half. What will be the area of the leaf?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $$10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$$ square units.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"29 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $$10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$$ square units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $$10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$$ square units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"23 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $$10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$$ square units.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"22 square units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $$10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$$ square units.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The fully covered squares are counted as it is. More than half-covered squares are counted as 1 square each. Less than half-covered squares are counted as 0 each. <br>\r\nSo we have $$10 + (1 \u00d7 12) + (0 \u00d7 14) = 10 + 12 = 22$$ square units.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a field that is shaped like 2 rectangles with the following measurements: Rectangle 1: l = 5, w = 6 Rectangle 2: l = 8, w = 5\",\n                    \"text\": \"What is the area of a field that is shaped like 2 rectangles with the following measurements: Rectangle 1: l = 5, w = 6 Rectangle 2: l = 8, w = 5\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"48 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"70 square cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of Rectangle 1 = 5 \u00d7 6 = 30 sq.cm. <br>\r\nArea of Rectangle 2 = 8 \u00d7 5 = 40 sq.cm <br>\r\nArea of Field = Area of Rectangle 1 + Area of Rectangle 2 <br>\r\n= 30 + 40 = 70 square cm.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"To find the area of an irregular shape, we first break the irregular shape into common shapes. Then we find the area of each shape and ___ them.\",\n                    \"text\": \"To find the area of an irregular shape, we first break the irregular shape into common shapes. Then we find the area of each shape and ___ them.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Multiply\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Subtract\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Divide\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Add\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of an irregular polygon made of 2 squares with the following measurements? Square 1: side = 5 cm Square 2: side = 3 cm\",\n                    \"text\": \"What is the area of an irregular polygon made of 2 squares with the following measurements? Square 1: side = 5 cm Square 2: side = 3 cm\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 square cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"34 square cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of Square 1 = 5 \u00d7 5 = 25 sq. cm. <br>\r\nArea of Square 2 = 3 \u00d7 3 = 9 sq. cm. <br>\r\nArea of Irregular polygon = Area of Square 1 + Area of Square 2 = 25 + 9 = 34 square cm.\"\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-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-frequently-asked-questions-on-area-of-irregular-shapes\">Frequently Asked Questions On Area of Irregular Shapes<\/h2>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e36067f0-d236-4369-9c23-721a7d540327\" 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-e36067f0-d236-4369-9c23-721a7d540327\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e36067f0-d236-4369-9c23-721a7d540327\"><strong>How do we find the area of irregular shapes?<\/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-e36067f0-d236-4369-9c23-721a7d540327\">\n\n<p>An irregular shape can be decomposed into known polygons. The area of the irregular shape then is the sum of the area of each of these polygons. If the irregular shape has curved edges and decomposing the entire shape into known polygons is not possible, then estimating the area would be a better approach.<\/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-e36067f0-d236-4369-9c23-721a7d540327\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e36067f0-d236-4369-9c23-721a7d540327\">I<strong>s there any formula to find areas of irregular shapes?<\/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-e36067f0-d236-4369-9c23-721a7d540327\">\n\n<p>No, there is no general formula to calculate the area of an irregular shape because the sides can be of varying lengths and curves.<\/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-e36067f0-d236-4369-9c23-721a7d540327\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e36067f0-d236-4369-9c23-721a7d540327\"><strong>Where do we need to find the area of irregular shapes in real life?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-e36067f0-d236-4369-9c23-721a7d540327\">\n\n<p>We need to find the area of irregular shapes for drawing maps, building architecture, and marking agricultural fields. We also need it for cutting fabrics according to a given design.<\/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-e36067f0-d236-4369-9c23-721a7d540327\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e36067f0-d236-4369-9c23-721a7d540327\"><strong>Is there any easy method to calculate the area of irregular shapes?<\/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-e36067f0-d236-4369-9c23-721a7d540327\">\n\n<p>If an irregular shape can be drawn or traced on a grid paper, then counting the number of squares covering the entire shape will be the easiest way to find its area.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Area of Irregular Shapes Irregular shapes are polygons with five or more sides of varying lengths. These shapes or figures can be decomposed further into triangles, squares, and quadrilaterals to evaluate the area. Some examples of irregular shapes are as follows: Calculating the area of irregular shapes: The approaches to estimating the area of irregular &#8230; <a title=\"Area of Irregular Shapes \u2013 Definition, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area-of-irregular-shapes\" aria-label=\"More on Area of Irregular Shapes \u2013 Definition, Facts, Examples, 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-1475","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\/1475","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=1475"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1475\/revisions"}],"predecessor-version":[{"id":34219,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1475\/revisions\/34219"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}