{"id":219447,"date":"2025-05-26T07:40:36","date_gmt":"2025-05-26T07:40:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=219447"},"modified":"2025-05-26T07:40:39","modified_gmt":"2025-05-26T07:40:39","slug":"company-wants-to-paint-its-logo-on-the-side-of-a-building","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/26\/company-wants-to-paint-its-logo-on-the-side-of-a-building\/","title":{"rendered":"Company wants to paint its logo on the side of a building."},"content":{"rendered":"\n<p>Company wants to paint its logo on the side of a building. The entire area needs to be covered with a primer. The two triangular areas will be painted red. The rectangle containing the company&#8217;s name will be white, and the rest of the parallelogram will be yellow.<\/p>\n\n\n\n<p>a. Find the area for each different color<br>b. Find the area that must be painted with primer<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To provide an accurate answer, I need to know the dimensions of the shapes involved (triangles, rectangle, and parallelogram). Since the problem doesn&#8217;t give specific numbers, I will explain using variables and an example. Let\u2019s assume the following scenario:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Assumed Dimensions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parallelogram (entire shape)<\/strong>: Base = 20 m, Height = 10 m<\/li>\n\n\n\n<li><strong>Each Triangle (2 total)<\/strong>: Base = 5 m, Height = 4 m<\/li>\n\n\n\n<li><strong>Rectangle (company name)<\/strong>: Length = 10 m, Height = 2 m<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>a. Find the area for each different color<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Red (2 Triangles)<\/strong><br>Area of one triangle = \u00bd \u00d7 base \u00d7 height = \u00bd \u00d7 5 \u00d7 4 = 10 m\u00b2<br>Total red area = 2 \u00d7 10 = <strong>20 m\u00b2<\/strong><\/li>\n\n\n\n<li><strong>White (Rectangle)<\/strong><br>Area = length \u00d7 height = 10 \u00d7 2 = <strong>20 m\u00b2<\/strong><\/li>\n\n\n\n<li><strong>Yellow (Remaining area of parallelogram)<\/strong><br>Total area of parallelogram = base \u00d7 height = 20 \u00d7 10 = 200 m\u00b2<br>Yellow area = Total area \u2212 Red area \u2212 White area<br>Yellow area = 200 \u2212 20 \u2212 20 = <strong>160 m\u00b2<\/strong><\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>b. Find the area that must be painted with primer<\/strong><\/h3>\n\n\n\n<p>The entire <strong>parallelogram<\/strong> (including all colored regions) needs to be primed first:<br><strong>Primer area = 200 m\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation <\/strong><\/h3>\n\n\n\n<p>In this painting project, the company wants its logo to be displayed on a large wall shaped like a parallelogram. The entire surface must first be covered with a primer to ensure the paint adheres properly and to provide a consistent base color. After priming, specific regions of the wall will be painted in different colors: red for two triangular areas, white for the rectangular area containing the company name, and yellow for the remaining background.<\/p>\n\n\n\n<p>To solve this, we calculate the area of each individual shape using geometry formulas:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>parallelogram\u2019s<\/strong> area is found using the formula <em>base \u00d7 height<\/em>. This gives us the total wall area.<\/li>\n\n\n\n<li>Each <strong>triangle\u2019s<\/strong> area is found using <em>\u00bd \u00d7 base \u00d7 height<\/em>. Since there are two identical triangles, we double this result.<\/li>\n\n\n\n<li>The <strong>rectangle<\/strong> is calculated with <em>length \u00d7 height<\/em>.<\/li>\n<\/ul>\n\n\n\n<p>Once we have all the colored region areas, we subtract the red and white parts from the total area to find the yellow region. Importantly, since <strong>every part of the wall is eventually painted<\/strong>, all of it must first be primed. Therefore, the primer area is equal to the total area of the parallelogram.<\/p>\n\n\n\n<p>Understanding area calculations in this context is crucial for planning resources, such as how much primer and each paint color is needed, which directly affects budgeting and scheduling in real-world projects.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/learnexams-banner8-15.jpeg\" alt=\"\" class=\"wp-image-219448\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Company wants to paint its logo on the side of a building. The entire area needs to be covered with a primer. The two triangular areas will be painted red. The rectangle containing the company&#8217;s name will be white, and the rest of the parallelogram will be yellow. a. Find the area for each different [&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-219447","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219447","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=219447"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219447\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=219447"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=219447"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=219447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}