{"id":21303,"date":"2019-05-20T20:24:58","date_gmt":"2019-05-20T14:54:58","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21303"},"modified":"2022-11-16T22:52:42","modified_gmt":"2022-11-16T17:22:42","slug":"a-six-sided-mosaic-contains-24-triangular-pieces-of-tile-of-the-same-size-and-shape-as-shown-in-the-figure-above-if-the-sections-of-tile-fit-together-perfectly-how-many-square-centimetres-of-tile-a","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/a-six-sided-mosaic-contains-24-triangular-pieces-of-tile-of-the-same-size-and-shape-as-shown-in-the-figure-above-if-the-sections-of-tile-fit-together-perfectly-how-many-square-centimetres-of-tile-a\/","title":{"rendered":"A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic?  &#8211; OG 2020 Question #329 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>\n<h2 id=\"h-og-2020-question-no-329\">OG 2020: Question No. 329<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"263\" height=\"214\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/329.png\" alt=\"\" class=\"wp-image-21304\"\/><\/figure>\n\n\n\n<p>A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic?<\/p>\n\n\n\n<ol><li>Each side of each triangular piece of tile is 9 centimetres long.<\/li><li>The mosaic can be put inside a rectangular frame that is 40 centimetres wide.<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OG 2020<\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Triangle<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium &#8211; Hard<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>A diagram showing a six-sided mosaic, contains 24 triangular pieces of tile of the same size and shape.<\/li><li>The sections of tile fit together perfectly.<\/li><\/ul>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>The number of square centimetres of tile, which are in the mosaic.<ul><li>Therefore, we need to know the area of the mosaic.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p>Since we are not given any other relevant information in the question stem, let us analyse the question statements.<\/p>\n\n\n\n<h4 id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p><em>\u201cEach side of each triangular piece of tile is 9 centimetres long.\u201d<\/em><\/p>\n\n\n\n<p>We are given that each side of each triangle is 9 cm.<\/p>\n\n\n\n<ul><li>Hence, each triangle is an equilateral triangle.<ul><li>Thus, we can find the area of each of the 24-equilateral triangle or the mosaic.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p>Thus, statement 1 is sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p><em>\u201cThe mosaic can be put inside a rectangular frame that is 40 centimetres wide.\u201d<\/em><\/p>\n\n\n\n<ul><li>For the mosaic to fit, its largest length i.e. AE must fit in the rectangle.<ul><li>Hence, the width of rectangle must be greater than or equal to AE.<ul><li>Therefore, AE \u2265 40<\/li><\/ul><\/li><li>However, we do not know the exact value of AE.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p>Thus, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p>Since we can determine the answer from statement 1 individually, this step is not required.<\/p>\n\n\n\n<p>Hence, the correct answer choice is option A.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-a379bf62-730f-4753-bc03-a81d1bc5d222\"><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\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OG 2020: Question No. 329 A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic? Each side of each triangular piece of tile is 9 centimetres [&hellip;]<\/p>\n","protected":false},"author":102413,"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":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-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>A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic? - OG 2020 Question #329 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\/a-six-sided-mosaic-contains-24-triangular-pieces-of-tile-of-the-same-size-and-shape-as-shown-in-the-figure-above-if-the-sections-of-tile-fit-together-perfectly-how-many-square-centimetres-of-tile-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. 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