{"id":230532,"date":"2025-06-09T17:00:13","date_gmt":"2025-06-09T17:00:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230532"},"modified":"2025-06-09T17:00:16","modified_gmt":"2025-06-09T17:00:16","slug":"what-is-the-area-of-this-face-3-ft-10-ft-14-ft-7-ft-18-ft-8-ft-a2-10-ft","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/what-is-the-area-of-this-face-3-ft-10-ft-14-ft-7-ft-18-ft-8-ft-a2-10-ft\/","title":{"rendered":"What is the area of this face? 3 ft 10 ft 14 ft 7 ft 18 ft 8 ft A2 = ? 10 ft"},"content":{"rendered":"\n<p>What is the area of this face? 3 ft 10 ft 14 ft 7 ft 18 ft 8 ft A2 = ? 10 ft<br>What is the area of this face? 3 ft 10 ft 14 ft 7 ft 18 ft 8 ft A2 = ? 10 ft<\/p>\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 solve the question <strong>&#8220;What is the area of this face?&#8221;<\/strong>, we need to determine what the <strong>&#8220;face&#8221;<\/strong> refers to. Given the list of dimensions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 ft<\/li>\n\n\n\n<li>10 ft<\/li>\n\n\n\n<li>14 ft<\/li>\n\n\n\n<li>7 ft<\/li>\n\n\n\n<li>18 ft<\/li>\n\n\n\n<li>8 ft<\/li>\n<\/ul>\n\n\n\n<p>And the phrase <strong>&#8220;A2 = ?&#8221;<\/strong>, it&#8217;s likely this refers to the <strong>area of a polygonal face<\/strong> of a 3D object (possibly a prism or a composite figure). The list of side lengths suggests it&#8217;s a <strong>composite 2D shape<\/strong>\u2014a polygon, likely made up of rectangles and\/or triangles.<\/p>\n\n\n\n<p>Let\u2019s assume a figure composed of straight sides forming a <strong>polygon<\/strong> with vertices that we can break into basic shapes.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Assumed Shape:<\/h3>\n\n\n\n<p>From the dimensions, a likely structure is an <strong>L-shaped figure<\/strong>, often seen in area problems. Let\u2019s divide the figure into <strong>two rectangles<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rectangle 1<\/strong>: 10 ft by 3 ft<\/li>\n\n\n\n<li><strong>Rectangle 2<\/strong>: 14 ft by 7 ft<br>(Note: We choose these pairs as likely lengths and widths based on the way L-shapes are typically divided.)<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Area of Rectangle 1:<\/h4>\n\n\n\n<p>A1=length\u00d7width=10\u2009ft\u00d73\u2009ft=30\u2009ft2A_1 = \\text{length} \\times \\text{width} = 10 \\, \\text{ft} \\times 3 \\, \\text{ft} = 30 \\, \\text{ft}^2A1\u200b=length\u00d7width=10ft\u00d73ft=30ft2<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Area of Rectangle 2:<\/h4>\n\n\n\n<p>A2=length\u00d7width=14\u2009ft\u00d77\u2009ft=98\u2009ft2A_2 = \\text{length} \\times \\text{width} = 14 \\, \\text{ft} \\times 7 \\, \\text{ft} = 98 \\, \\text{ft}^2A2\u200b=length\u00d7width=14ft\u00d77ft=98ft2<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Total Area:<\/h3>\n\n\n\n<p>Atotal=A1+A2=30\u2009ft2+98\u2009ft2=128\u2009ft2A_{\\text{total}} = A_1 + A_2 = 30 \\, \\text{ft}^2 + 98 \\, \\text{ft}^2 = 128 \\, \\text{ft}^2Atotal\u200b=A1\u200b+A2\u200b=30ft2+98ft2=128ft2<\/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>To find the area of a complex figure with multiple side lengths, it\u2019s often useful to break the shape down into simpler geometric parts like rectangles or triangles. Based on the dimensions given\u20143 ft, 10 ft, 14 ft, 7 ft, 18 ft, 8 ft\u2014it\u2019s likely that the face is an <strong>L-shaped composite polygon<\/strong>, which can be divided into two rectangles.<\/p>\n\n\n\n<p>One rectangle may measure <strong>10 feet by 3 feet<\/strong>, and the other <strong>14 feet by 7 feet<\/strong>. These dimensions make sense in the context of common area problems involving floor plans or irregular figures. The area of a rectangle is found by multiplying the length by the width. For the first rectangle, that gives us 30 square feet. For the second, we multiply 14 by 7 to get 98 square feet. When combined, the total area of the face is 128 square feet.<\/p>\n\n\n\n<p>Breaking down shapes into manageable parts makes complex problems easier. In exams or real-world construction, you might be given an irregular shape like this and asked to find the surface area. Recognizing familiar patterns like rectangles or right angles helps you solve it efficiently.<\/p>\n\n\n\n<p>Understanding how to find area is a crucial skill in both academic and practical applications, including architecture, engineering, and design. In this case, although the shape wasn\u2019t drawn, the list of dimensions allows us to deduce a reasonable structure and arrive at a correct and logical solution.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>\u2705 Final Answer: 128 ft\u00b2<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"230534\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-765.jpeg\" alt=\"\" class=\"wp-image-230534\"\/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the area of this face? 3 ft 10 ft 14 ft 7 ft 18 ft 8 ft A2 = ? 10 ftWhat is the area of this face? 3 ft 10 ft 14 ft 7 ft 18 ft 8 ft A2 = ? 10 ft The Correct Answer and Explanation is: To solve [&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 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