{"id":225105,"date":"2025-06-03T20:09:24","date_gmt":"2025-06-03T20:09:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225105"},"modified":"2025-06-03T20:09:26","modified_gmt":"2025-06-03T20:09:26","slug":"what-is-the-area-of-the-figure-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/what-is-the-area-of-the-figure-below\/","title":{"rendered":"What is the area of the figure below"},"content":{"rendered":"\n<p>What is the area of the figure below? (1 point) 5 in. 3 in. 12 in. 18 in.<br>30 in.<br>36 in.<br>60 in.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-87.png\" alt=\"\" class=\"wp-image-225106\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>area<\/strong> of the parallelogram in the figure, we use the <strong>formula<\/strong> for the area of a parallelogram: Area=base\u00d7height\\text{Area} = \\text{base} \\times \\text{height}<\/p>\n\n\n\n<p>From the image:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>base<\/strong> is given as <strong>12 inches<\/strong>.<\/li>\n\n\n\n<li>The <strong>height<\/strong> (perpendicular distance between the bases) is <strong>3 inches<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step Calculation:<\/h3>\n\n\n\n<p>Area=12\u2009inches\u00d73\u2009inches=36\u2009square&nbsp;inches\\text{Area} = 12 \\, \\text{inches} \\times 3 \\, \\text{inches} = 36 \\, \\text{square inches}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Therefore, the correct answer is:<\/h3>\n\n\n\n<p><strong>36 in\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The figure in question is a <strong>parallelogram<\/strong>, a four-sided polygon with opposite sides that are parallel and equal in length. Unlike rectangles, parallelograms do not necessarily have right angles, so we must rely on a different approach to calculate the area.<\/p>\n\n\n\n<p>The formula for the area of a parallelogram is: Area=base\u00d7height\\text{Area} = \\text{base} \\times \\text{height}<\/p>\n\n\n\n<p>It\u2019s important to note that the <strong>height<\/strong> used in this formula is not the slanted side or the length of the side inclined at an angle. Instead, it is the <strong>perpendicular height<\/strong> from the base to the top side, which essentially measures how &#8220;tall&#8221; the shape is when standing on its base.<\/p>\n\n\n\n<p>In the given figure:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>base<\/strong> of the parallelogram is clearly labeled as <strong>12 inches<\/strong>.<\/li>\n\n\n\n<li>A dotted line representing the <strong>height<\/strong> is marked as <strong>3 inches<\/strong>, perpendicular to the base.<\/li>\n<\/ul>\n\n\n\n<p>Although one side of the parallelogram is marked as <strong>5 inches<\/strong>, that is the length of the slanted side and <strong>not<\/strong> used for calculating area.<\/p>\n\n\n\n<p>Multiplying the base by the height: 12\u2009inches\u00d73\u2009inches=36\u2009square&nbsp;inches12 \\, \\text{inches} \\times 3 \\, \\text{inches} = 36 \\, \\text{square inches}<\/p>\n\n\n\n<p>This gives us the area. Among the answer choices (18, 30, 36, and 60 square inches), <strong>36 in\u00b2<\/strong> is correct.<\/p>\n\n\n\n<p>This question tests understanding of geometric formulas and recognizing the correct components (base and perpendicular height) to use when calculating the area of a parallelogram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-266.jpeg\" alt=\"\" class=\"wp-image-225107\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the area of the figure below? (1 point) 5 in. 3 in. 12 in. 18 in.30 in.36 in.60 in. The Correct Answer and Explanation is: To find the area of the parallelogram in the figure, we use the formula for the area of a parallelogram: Area=base\u00d7height\\text{Area} = \\text{base} \\times \\text{height} From the image: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-225105","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=225105"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225105\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}