{"id":21471,"date":"2019-05-21T19:57:28","date_gmt":"2019-05-21T14:27:28","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21471"},"modified":"2022-11-16T21:15:02","modified_gmt":"2022-11-16T15:45:02","slug":"in-the-floor-plan-of-an-executives-beach-house-above-the-north-and-south-walls-of-the-living-room-are-parallel-what-is-the-floor-area-in-square-feet-of-the-bedroom-og-2020-question-99-with-s","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/in-the-floor-plan-of-an-executives-beach-house-above-the-north-and-south-walls-of-the-living-room-are-parallel-what-is-the-floor-area-in-square-feet-of-the-bedroom-og-2020-question-99-with-s\/","title":{"rendered":"In the floor plan of an executive&#8217;s beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom? &#8211; OG 2020 Question #99 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span><h2>OG 2020: Question No. 99<\/h2>\n<p><img class=\"aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OG_PS_99_1.png\"><\/p>\n<p>In the floor plan of an executive&#8217;s beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?<\/p>\n<ol>\n<li>450\u221a3<\/li>\n<li>450<\/li>\n<li>225\u221a3<\/li>\n<li>225<\/li>\n<li>It cannot be determined from the information given.<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OG 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Problem Solving<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Geometry<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Triangle<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Solution<\/h3>\n<h4><strong><u>Given<\/u><\/strong><\/h4>\n<p>Let us name the point in the diagram as shown below:<\/p>\n<p><img class=\"aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OG_PS_99_2.png\"><\/p>\n<ul>\n<li>AE = 30 ft<\/li>\n<li>BE = 30 ft<\/li>\n<li>CF = 15 ft<\/li>\n<li>AD = 30 ft<\/li>\n<li>CD = 30 ft<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h4><strong><u>To Find:<\/u><\/strong><\/h4>\n<ul>\n<li>Area of Bedroom or \u2206ACD<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h4><strong><u>Approach and Working:<\/u><\/strong><\/h4>\n<p>Since EF is parallel to BC, So, two corresponding angles of \u2206AEF and \u2206ABC will be equal.<\/p>\n<ul>\n<li>\u2206AEF and \u2206ABC are similar triangles.<\/li>\n<li>Therefore, AE\/ AB = AF \/FC<\/li>\n<li>30\/(30 + 30) = x\/(x + 15)\n<ul>\n<li>x = 15<\/li>\n<li>AC = x + 15 = 30 ft<\/li>\n<\/ul>\n<\/li>\n<li>Hence, \u2206ACD is an equilateral triangle since all the sides are equal.\n<ul>\n<li>Thus, Area of \u2206ACD = \u221a3\/4 * 30<sup>2<\/sup> = 225\u221a3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Therefore, option C is the correct answer.<\/p>\n<blockquote><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a><strong>&nbsp;<\/strong>We are the<strong>&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 1950 reviews as of October 2020.<\/p><\/blockquote>\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-9dfb1f73-d651-4130-8e89-360d6dfbc841\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OG 2020: Question No. 99 In the floor plan of an executive&#8217;s beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom? 450\u221a3 450 225\u221a3 225 It cannot be determined from the information given. Source OG 2020 Type Problem Solving [&hellip;]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[104,44,94,60,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>In the floor plan of an executive&#039;s beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom? - OG 2020 Question #99 with Solution<\/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:\/\/e-gmat.com\/blogs\/in-the-floor-plan-of-an-executives-beach-house-above-the-north-and-south-walls-of-the-living-room-are-parallel-what-is-the-floor-area-in-square-feet-of-the-bedroom-og-2020-question-99-with-s\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In the floor plan of an executive&#039;s beach house above, the north and south walls of the living room are parallel. 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