Grant is painting a rectangular board that has a width of 1\/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the whole board using all of his paint, what is the length of the board in feet?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To find the length<\/strong> of the board, we can use the formula for the area of a rectangle: Area=Length\u00d7Width\\text{Area} = \\text{Length} \\times \\text{Width}<\/p>\n\n\n\n We are told:<\/p>\n\n\n\n 3=Length\u00d7133 = \\text{Length} \\times \\frac{1}{3}<\/p>\n\n\n\n To isolate the length, multiply both sides of the equation by 3: 3\u00d73=Length3 \\times 3 = \\text{Length} Length=9\\text{Length} = 9<\/p>\n\n\n\n This problem is about understanding how area works for a rectangle. The area of a rectangle is found by multiplying the length and the width. We are given that the width of the rectangular board is 13\\frac{1}{3} foot, and the area is 3 square feet because that\u2019s how much surface Grant can paint.<\/p>\n\n\n\n Our goal is to figure out the length<\/strong> of the board, which we\u2019ll call LL. Using the area formula: Area=Length\u00d7Width\\text{Area} = \\text{Length} \\times \\text{Width}<\/p>\n\n\n\n we substitute the known values: 3=L\u00d7133 = L \\times \\frac{1}{3}<\/p>\n\n\n\n This is a simple equation where you need to solve for LL. To eliminate the fraction, multiply both sides by 3: 3\u00d73=L3 \\times 3 = L L=9L = 9<\/p>\n\n\n\n That means the board must be 9 feet long<\/strong> to have an area of 3 square feet with a width of 13\\frac{1}{3} foot.<\/p>\n\n\n\n You can check the answer by multiplying: Length\u00d7Width=9\u00d713=3 square feet\\text{Length} \\times \\text{Width} = 9 \\times \\frac{1}{3} = 3 \\text{ square feet}<\/p>\n\n\n\n Since this matches the amount of paint Grant has, the solution is correct. This type of problem helps reinforce understanding of how dimensions relate to area, especially when fractions are involved.<\/p>\n","protected":false},"excerpt":{"rendered":" Grant is painting a rectangular board that has a width of 1\/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the whole board using all of his paint, what is the length of the board in feet? The correct answer and explanation is: To find the length […]<\/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-19063","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19063","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=19063"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19063\/revisions"}],"predecessor-version":[{"id":19064,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19063\/revisions\/19064"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Plug in known values<\/h3>\n\n\n\n
\n
Step 2: Solve for length<\/h3>\n\n\n\n
\u2705 Final Answer: 9 feet<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Explanation (300 words)<\/h3>\n\n\n\n