{"id":5976,"date":"2022-01-26T17:47:41","date_gmt":"2022-01-26T17:47:41","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=5976"},"modified":"2022-01-26T17:47:41","modified_gmt":"2022-01-26T17:47:41","slug":"area-of-composite-figures-word-problems","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/area-of-composite-figures-word-problems\/","title":{"rendered":"Area of Composite Figures Word Problems"},"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 Word Problems<\/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. Read the word problem and 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>A hotel is building a heart-shaped pool. Find the area of the pool. 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\/1593430504193.svg\" alt=\"\" width=\"225\" height=\"221\" \/><\/a><br \/>\n<\/strong><\/span><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The area is composed of a square and two semicircles (one whole circle).<\/p>\n<p>Area of the pool = Area of a circle + Area of a square<\/p>\n<p>= <strong>\u03c0r<sup>2<\/sup> + s<sup>2<\/sup><\/strong><\/p>\n<p>= 3.14 (18.25 m)<sup>2<\/sup> + (36.5 m)<sup>2<\/sup><\/p>\n<p>= 1045.81 m<sup>2<\/sup> + 1332.25 m<sup>2<\/sup><\/p>\n<p><strong><span style=\"color: #ff0000;\"> = 2378.1 m<sup>2<\/sup><\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Area of Composite Figures Word Problems[\/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>Tommy needs to paint a wall except for the window. The dimensions are shown below. How many cans of paint does he need if 1 can of paint can cover 1 m<sup>2<\/sup>? <\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 13px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1593430571001.svg\" width=\"252\" height=\"127\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone wp-image-5978 size-full\" style=\"margin-top: 13px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/81.png\" alt=\"\" width=\"205\" height=\"47\" \/><\/a>[\/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>Annie is making a door for her dollhouse from a paper. How much paper does she need? Dimensions of the door are shown below. Use 3.14 for \u03c0. Round to the nearest tenth.<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 13px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1600166630401.svg\" width=\"252\" height=\"127\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone wp-image-5980 size-full\" style=\"margin-top: 13px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/cm.png\" alt=\"\" width=\"126\" height=\"49\" \/><\/a><br \/>\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>A photo frame is shown below with its dimensions. If the glass portion only covers the picture inside of the frame, what is the area of a piece of replacement glass?<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 13px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1600166149897.svg\" width=\"250\" height=\"231\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\"><img loading=\"lazy\" class=\"alignnone wp-image-5980 size-full\" style=\"margin-top: 13px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/cm.png\" alt=\"\" width=\"126\" height=\"49\" \/><\/a>[\/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” 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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 Word Problems [\/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 […]<\/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 Word Problems | 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-word-problems\/\" \/>\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 Word Problems\" \/>\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 Word Problems [\/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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