{"id":231103,"date":"2025-06-10T13:02:33","date_gmt":"2025-06-10T13:02:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=231103"},"modified":"2025-06-10T13:02:35","modified_gmt":"2025-06-10T13:02:35","slug":"alexis-has-a-rectangular-piece-of-red-paper-that-is-4-cm-wide-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/10\/alexis-has-a-rectangular-piece-of-red-paper-that-is-4-cm-wide-2\/","title":{"rendered":"Alexis has a rectangular piece of red paper that is 4 cm wide."},"content":{"rendered":"\n<p>Alexis has a rectangular piece of red paper that is 4 cm wide. Its length is twice its width. She glues a rectangular piece of blue paper on top of the red piece measuring 3 cm by 7 cm. How many sq cm of red paper will be visible on top<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Finding the Area of the Red Paper<\/h3>\n\n\n\n<p>The red paper is rectangular with:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Width = 4 cm<\/li>\n\n\n\n<li>Length = <strong>twice<\/strong> the width \u2192 2 \u00d7 4 = <strong>8 cm<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So, its area is:<\/p>\n\n\n\n<p>Area=Width\u00d7Length=4\u00d78=32&nbsp;cm2\\text{Area} = \\text{Width} \\times \\text{Length} = 4 \\times 8 = 32 \\text{ cm}^2<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Finding the Area of the Blue Paper<\/h3>\n\n\n\n<p>The blue paper has:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Width = 3 cm<\/li>\n\n\n\n<li>Length = 7 cm<\/li>\n<\/ul>\n\n\n\n<p>Thus, its area is:<\/p>\n\n\n\n<p>Area=3\u00d77=21&nbsp;cm2\\text{Area} = 3 \\times 7 = 21 \\text{ cm}^2<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Finding the Remaining Visible Red Paper<\/h3>\n\n\n\n<p>Since the blue paper is glued on top of the red paper, the remaining visible red paper is:<\/p>\n\n\n\n<p>Visible&nbsp;Red&nbsp;Paper=Total&nbsp;Red&nbsp;Area\u2212Covered&nbsp;Area\\text{Visible Red Paper} = \\text{Total Red Area} &#8211; \\text{Covered Area}<\/p>\n\n\n\n<p>=32\u221221=11&nbsp;cm2= 32 &#8211; 21 = 11 \\text{ cm}^2<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This problem is a straightforward application of area subtraction. The red paper starts with <strong>32 cm\u00b2<\/strong> of total space, but when a blue <strong>21 cm\u00b2<\/strong> rectangular sheet is placed on top, it obscures part of the red surface. What remains visible is simply the difference between the areas.<\/p>\n\n\n\n<p>One way to visualize this is by imagining the red rectangle as a desk and the blue rectangle as a paper placed on it\u2014the leftover space around the edges is what remains visible.<\/p>\n\n\n\n<p>Thus, Alexis will still see <strong>11 cm\u00b2<\/strong> of red paper around the blue piece.<\/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-banner2-2.jpeg\" alt=\"\" class=\"wp-image-231116\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Alexis has a rectangular piece of red paper that is 4 cm wide. Its length is twice its width. She glues a rectangular piece of blue paper on top of the red piece measuring 3 cm by 7 cm. How many sq cm of red paper will be visible on top The Correct Answer and [&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-231103","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231103","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=231103"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231103\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=231103"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=231103"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=231103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}