{"id":227573,"date":"2025-06-06T08:16:47","date_gmt":"2025-06-06T08:16:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227573"},"modified":"2025-06-06T08:16:49","modified_gmt":"2025-06-06T08:16:49","slug":"which-expression-represents-the-length-of-the-framed-picture","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/which-expression-represents-the-length-of-the-framed-picture\/","title":{"rendered":"Which expression represents the length of the framed picture"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Which expression represents the length of the framed picture? Alissa is framing a rectangular picture with each length 10 inches and width inches. Let x represent the width of the frame in inches.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The <strong>length of the framed picture<\/strong> is represented by the expression:<br><strong>10 + 2x<\/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 class=\"wp-block-paragraph\">When framing a picture, the frame adds extra width around <strong>all sides<\/strong> of the picture. Let&#8217;s understand how this works step by step for the <strong>length<\/strong> of the picture.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Original Length of the Picture:<\/strong><br>The original length of the rectangular picture is <strong>10 inches<\/strong>, as stated in the problem.<\/li>\n\n\n\n<li><strong>Width of the Frame (x):<\/strong><br>The frame has a <strong>width of x inches<\/strong>, and it is added <strong>around all sides<\/strong> of the picture. This means the frame adds extra space to both the <strong>left<\/strong> and <strong>right<\/strong> sides of the picture.<\/li>\n\n\n\n<li><strong>How the Frame Affects the Length:<\/strong><br>Since the frame adds <strong>x inches<\/strong> on <strong>each side<\/strong>, the total added to the <strong>length<\/strong> is:<ul><li><strong>x inches on the left<\/strong><\/li><li><strong>x inches on the right<\/strong><\/li><\/ul>This gives a total of <strong>2x inches<\/strong> added to the length of the picture.<\/li>\n\n\n\n<li><strong>Total Length of the Framed Picture:<\/strong><br>The total length, including the picture and the frame on both sides, is: 10+x+x=10+2&#215;10 + x + x = 10 + 2&#215;10+x+x=10+2x So, the <strong>expression for the total length of the framed picture<\/strong> is: 10+2x\\boxed{10 + 2x}10+2x\u200b<\/li>\n\n\n\n<li><strong>Why This Makes Sense:<\/strong><br>This expression represents the total horizontal distance from one outer edge of the frame to the opposite outer edge. It combines the original picture length (10 inches) with the frame extensions on both sides (2x inches total).<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">In summary, when you frame a picture, you must add the frame\u2019s width to <strong>both sides<\/strong> of the dimension. Therefore, the total length becomes <strong>10 + 2x<\/strong>. This algebraic expression allows you to calculate the framed length for <strong>any<\/strong> frame width xxx, making it a flexible and useful formula.<\/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-banner9-106.jpeg\" alt=\"\" class=\"wp-image-227574\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which expression represents the length of the framed picture? Alissa is framing a rectangular picture with each length 10 inches and width inches. Let x represent the width of the frame in inches. The Correct Answer and Explanation is: Correct Answer: The length of the framed picture is represented by the expression:10 + 2x Explanation [&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-227573","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227573","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=227573"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227573\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227573"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227573"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}