{"id":227287,"date":"2025-06-06T04:17:03","date_gmt":"2025-06-06T04:17:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227287"},"modified":"2025-06-06T04:17:07","modified_gmt":"2025-06-06T04:17:07","slug":"ray-is-constructing-a-flowerbed-for-the-zoo-and-wants-to-know-if-he-has-enough-edging","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/ray-is-constructing-a-flowerbed-for-the-zoo-and-wants-to-know-if-he-has-enough-edging\/","title":{"rendered":"Ray is constructing a flowerbed for the zoo and wants to know if he has enough edging."},"content":{"rendered":"\n

Ray is constructing a flowerbed for the zoo and wants to know if he has enough edging. A sketch of the flowerbed is shown below. What is the perimeter of the triangle? Round to the nearest whole number. 12 ft 12 ft 48 ft 41 ft 72 ft 24 ft<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the perimeter of the triangle shown in the image, we start by identifying the type of triangle and the lengths of its sides.<\/p>\n\n\n\n

Step 1: Understand the Triangle<\/h3>\n\n\n\n

The triangle is a right triangle<\/strong> with:<\/p>\n\n\n\n

    \n
  • One leg = 12 feet<\/li>\n\n\n\n
  • The other leg = 12 feet<\/li>\n\n\n\n
  • The hypotenuse = unknown<\/li>\n<\/ul>\n\n\n\n

    We can find the hypotenuse using the Pythagorean Theorem<\/strong>, which states: c2=a2+b2c^2 = a^2 + b^2<\/p>\n\n\n\n

    where:<\/p>\n\n\n\n

      \n
    • a=12a = 12<\/li>\n\n\n\n
    • b=12b = 12<\/li>\n\n\n\n
    • cc is the hypotenuse<\/li>\n<\/ul>\n\n\n\n

      Step 2: Use the Pythagorean Theorem<\/h3>\n\n\n\n

      c2=122+122=144+144=288c^2 = 12^2 + 12^2 = 144 + 144 = 288 c=288\u224816.97c = \\sqrt{288} \\approx 16.97<\/p>\n\n\n\n

      Step 3: Calculate the Perimeter<\/h3>\n\n\n\n

      The perimeter PP of a triangle is the sum of all its sides: P=12+12+16.97=40.97\u224841 feetP = 12 + 12 + 16.97 = 40.97 \\approx 41 \\text{ feet}<\/p>\n\n\n\n

      Final Answer:<\/h3>\n\n\n\n

      41 feet<\/strong><\/p>\n\n\n\n

      \n\n\n\n

      Explanation (Approx. 300 words)<\/h3>\n\n\n\n

      In this problem, Ray is creating a triangular flowerbed, and he needs to know the total amount of edging required, which is essentially the perimeter<\/strong> of the triangle. The sketch shows a right triangle<\/strong> with two equal sides, both measuring 12 feet. This kind of triangle is called an isosceles right triangle<\/strong>, where the two legs are the same and the hypotenuse (longest side) must be calculated using the Pythagorean Theorem<\/strong>.<\/p>\n\n\n\n

      The Pythagorean Theorem helps us find the length of the hypotenuse in a right triangle by taking the square root of the sum of the squares of the other two sides. Squaring each leg (12 feet), we get 144, and their sum is 288. The square root of 288 is approximately 16.97 feet.<\/p>\n\n\n\n

      To find the perimeter, we simply add all three sides together: the two 12-foot legs and the approximately 16.97-foot hypotenuse. This gives us a total of 40.97 feet. Since the question asks us to round to the nearest whole number<\/strong>, the final answer is 41 feet<\/strong>.<\/p>\n\n\n\n

      This kind of real-world application of the Pythagorean Theorem shows how math helps in everyday situations like construction or landscaping, where accurate measurements are crucial. By using mathematical formulas, Ray can be confident he has the right amount of material.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      Ray is constructing a flowerbed for the zoo and wants to know if he has enough edging. A sketch of the flowerbed is shown below. What is the perimeter of the triangle? Round to the nearest whole number. 12 ft 12 ft 48 ft 41 ft 72 ft 24 ft The Correct Answer and Explanation […]<\/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-227287","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227287","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=227287"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227287\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227287"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227287"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227287"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}