{"id":20152,"date":"2025-06-14T08:02:14","date_gmt":"2025-06-14T08:02:14","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20152"},"modified":"2025-06-14T08:02:23","modified_gmt":"2025-06-14T08:02:23","slug":"a-wall-in-marcuss-bedroom-is-8-2-5-feet-high-and-16-2-3-feet-long","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-wall-in-marcuss-bedroom-is-8-2-5-feet-high-and-16-2-3-feet-long\/","title":{"rendered":"A wall in Marcus&#8217;s bedroom is 8 2\/5 feet high and 16 2\/3 feet long"},"content":{"rendered":"\n<p>A wall in Marcus&#8217;s bedroom is 8 2\/5 feet high and 16 2\/3 feet long. If he paints 1\/2 of the wall blue, how many square feet will be blue?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>To find how many square feet of Marcus\u2019s wall will be painted blue, we follow these steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Convert the mixed numbers to improper fractions.<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Height of the wall:<br>825=8\u00d75+25=4258 \\frac{2}{5} = \\frac{8 \\times 5 + 2}{5} = \\frac{42}{5}<\/li>\n\n\n\n<li>Length of the wall:<br>1623=16\u00d73+23=50316 \\frac{2}{3} = \\frac{16 \\times 3 + 2}{3} = \\frac{50}{3}<\/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>Step 2: Calculate the total area of the wall.<\/strong><\/h3>\n\n\n\n<p>Area = Height \u00d7 Length Area=425\u00d7503=42\u00d7505\u00d73=210015=140&nbsp;square&nbsp;feet\\text{Area} = \\frac{42}{5} \\times \\frac{50}{3} = \\frac{42 \\times 50}{5 \\times 3} = \\frac{2100}{15} = 140 \\text{ square feet}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Calculate 1\/2 of the area.<\/strong><\/h3>\n\n\n\n<p>12\u00d7140=70&nbsp;square&nbsp;feet\\frac{1}{2} \\times 140 = 70 \\text{ square feet}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Final Answer:<\/strong><\/h3>\n\n\n\n<p><strong>70 square feet<\/strong> of the wall will be painted blue.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 <strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>This problem involves calculating the area of a rectangular wall and then finding a fraction of that area. First, we convert the height and length of the wall from mixed numbers to improper fractions to make multiplication easier. The height is 8 2\/5, which becomes 42\/5, and the length is 16 2\/3, which becomes 50\/3.<\/p>\n\n\n\n<p>Area is found by multiplying height by length. Multiplying fractions involves multiplying the numerators and then the denominators:<br>425\u00d7503=210015=140\\frac{42}{5} \\times \\frac{50}{3} = \\frac{2100}{15} = 140.<\/p>\n\n\n\n<p>This result gives us the <strong>total area<\/strong> of the wall in square feet. Since Marcus is painting only <strong>half<\/strong> of the wall, we multiply the area by 1\/2:<br>12\u00d7140=70\\frac{1}{2} \\times 140 = 70 square feet.<\/p>\n\n\n\n<p>This means 70 square feet of the wall will be blue.<\/p>\n\n\n\n<p>This kind of problem tests skills in fraction operations, area calculation, and applying proportions. It\u2019s a good example of how math is used in real-life situations like home improvement and interior design.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A wall in Marcus&#8217;s bedroom is 8 2\/5 feet high and 16 2\/3 feet long. If he paints 1\/2 of the wall blue, how many square feet will be blue? The correct answer and explanation is: To find how many square feet of Marcus\u2019s wall will be painted blue, we follow these steps: Step 1: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-20152","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20152","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=20152"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20152\/revisions"}],"predecessor-version":[{"id":20153,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20152\/revisions\/20153"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}