{"id":5918,"date":"2022-01-30T10:03:28","date_gmt":"2022-01-30T10:03:28","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=5918"},"modified":"2022-02-28T16:51:34","modified_gmt":"2022-02-28T16:51:34","slug":"area-of-composite-figures","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/","title":{"rendered":"Area of Composite Figures"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Area of Composite Figures<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The area of composite shapes is the area that is covered by any composite shape. The composite shape is a shape in which few polygons are put together to form a required shape. These shapes or figures can be made up of a combination of triangles, squares, and quadrilaterals, etc. Divide a composite shape into basic shapes like square, triangle, rectangle, hexagon, etc. to determine the area of composite shapes.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Decompose the composite figure into simpler shapes of which you can find the area.<br \/>\n2. Write down the area formulas of the simpler shapes.<br \/>\n3. Substitute the given values into the formulas.<br \/>\n4. Add or subtract the areas of the simple shapes as needed and state the correct square units.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Find the area of the figure below. Use 3.14 for \u03c0.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone wp-image-4507 \" style=\"margin-top: 12px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1599735921098.svg\" alt=\"\" width=\"175\" height=\"241\" \/><\/a><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The figure is made up of a semicircle and a triangle.<\/p>\n<p>Area of the figure = Area of semicircle + Area of triangle<\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;=\\frac{1}{2}\\pi&space;r^{2}+\\frac{1}{2}bh\" alt=\"\\fn_phv =\\frac{1}{2}\\pi r^{2}+\\frac{1}{2}bh\" align=\"absmiddle\" \/><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;=\\frac{1}{2}(3.14)&space;(3\\;cm)^{2}+\\frac{1}{2}(6\\;cm)(7\\;cm)\" alt=\"\\fn_phv =\\frac{1}{2}(3.14) (3\\;cm)^{2}+\\frac{1}{2}(6\\;cm)(7\\;cm)\" align=\"absmiddle\" \/><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;=&space;35.1\\;cm^{2}}\" alt=\"\\fn_phv {\\color{Red} = 35.1\\;cm^{2}}\" align=\"absmiddle\" \/>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Area of Composite Figures[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the area of the figure below. <\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-5921 size-full\" style=\"margin-top: 13px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/61-1.png\" alt=\"\" width=\"115\" height=\"47\" \/><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone\" style=\"margin-top: 13px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1604319907633.svg\" alt=\" Area of Composite Figures Practice Problem 1\" width=\"212\" height=\"184\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the area of the shaded figure below. Round your answer to the nearest tenth. <\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-5923 size-full\" style=\"margin-top: 13px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/62.png\" alt=\"\" width=\"123\" height=\"47\" \/><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone\" style=\"margin-top: 13px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1604322038058.svg\" alt=\" Area of Composite Figures Practice Problem 2\" width=\"212\" height=\"184\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the area of the shaded figure below. Use 3.14 or <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{22}{7}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{22}{7}}\" align=\"absmiddle\" \/> for \u03c0, as needed. Round your answer to the nearest tenth. <\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-5921\" style=\"margin-top: 13px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/61-1.png\" alt=\"\" width=\"115\" height=\"47\" \/><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone\" style=\"margin-top: 13px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1599736564675.svg\" alt=\" Area of Composite Figures Practice Problem 3\" width=\"212\" height=\"184\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Composite figure<\/strong> \u2013 a figure created by adding two or more shapes.<\/p>\n<p><strong>Area<\/strong> – the space occupied by a flat shape or the surface of an object. [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1638254159603{border-radius: 10px !important;}”]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-perimeter\"><span style=\"color: #ed5600;\">Measurement – Perimeter<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-area\"><span style=\"color: #ed5600;\">Measurement – Area<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles\"><span style=\"color: #ed5600;\">Circumference and Area of Circles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/circles-diameter-radius-circumference\"><span style=\"color: #ed5600;\">Circles: Diameter, Radius, Circumference<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/area-of-a-parallelogram\"><span style=\"color: #ed5600;\">Area of a parallelogram<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/area-of-a-triangle\"><span style=\"color: #ed5600;\">Area of a triangle<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1638254339395{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 10px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\"><span style=\"color: #333399;\">Surface Area of Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids\"><span style=\"color: #333399;\">Surface Area of Pyramids<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\"><span style=\"color: #333399;\">Surface Area of Cylinders<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cones\"><span style=\"color: #333399;\">Surface Area of Cones<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/surface-area-of-rectangular-prisms\"><span style=\"color: #333399;\">Surface Area of Rectangular Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-composite-figures\"><span style=\"color: #333399;\">Surface Area of Composite Figures<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” 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equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Area of Composite Figures [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The area of composite shapes is the area that is covered by any composite shape. The composite shape is a shape in which few […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area of Composite Figures | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area of Composite Figures\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Area of Composite Figures [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The area of composite shapes is the area that is covered by any composite shape. The composite shape is a shape in which few […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/\" \/>\n<meta property=\"og:site_name\" content=\"Oryx Learning\" \/>\n<meta property=\"article:modified_time\" content=\"2022-02-28T16:51:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1599735921098.svg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#organization\",\"name\":\"Oryx Learning\",\"url\":\"https:\/\/oryxlearning.com\/learn\/\",\"sameAs\":[],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png\",\"contentUrl\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png\",\"width\":150,\"height\":74,\"caption\":\"Oryx Learning\"},\"image\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#website\",\"url\":\"https:\/\/oryxlearning.com\/learn\/\",\"name\":\"Oryx Learning\",\"description\":\"Complete interactive math curriculum\",\"publisher\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/oryxlearning.com\/learn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cdn.oryxlearning.com\/media_assets\/1599735921098.svg\",\"contentUrl\":\"https:\/\/cdn.oryxlearning.com\/media_assets\/1599735921098.svg\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/#webpage\",\"url\":\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/\",\"name\":\"Area of Composite Figures | Oryx Learning\",\"isPartOf\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/#primaryimage\"},\"datePublished\":\"2022-01-30T10:03:28+00:00\",\"dateModified\":\"2022-02-28T16:51:34+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/oryxlearning.com\/learn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Area of Composite Figures\"}]}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Area of Composite Figures | Oryx Learning","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures\/","og_locale":"en_US","og_type":"article","og_title":"Area of Composite Figures","og_description":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Area of Composite Figures [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The area of composite shapes is the area that is covered by any composite shape. 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