{"id":82,"date":"2023-11-04T11:27:33","date_gmt":"2023-11-04T11:27:33","guid":{"rendered":"https:\/\/www.edunoolympiad.com\/blog\/?p=82"},"modified":"2024-10-10T08:46:38","modified_gmt":"2024-10-10T08:46:38","slug":"two-2-m-wide-cross-roads-in-a-lawn","status":"publish","type":"post","link":"https:\/\/www.edunoolympiad.com\/blog\/two-2-m-wide-cross-roads-in-a-lawn\/","title":{"rendered":"There are two 2 m wide cross roads in a lawn 150 m by 120 m dimensions. One of the roads is parallel to the length and the other is parallel to the breadth. If it costs Rs. 2 per sq. meter for leveling the road, what would be the cost involved?"},"content":{"rendered":"\n<p>To find the cost involved in leveling the two crossroads on the lawn, we need to calculate the total area of the roads and then multiply it by the cost per square meter.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-rank-math-toc-block\" id=\"rank-math-toc\"><h2>Table of Contents<\/h2><nav><ul><li><a href=\"#solution-of-two-2-m-wide-cross-roads-in-a-lawn-150-m-by-120-m-dimensions\">Solution of &#8220;Two 2 m wide cross roads in a lawn 150 m by 120 m dimensions&#8230;&#8221;<\/a><ul><li><a href=\"#1-find-the-area-of-the-two-crossroads\">1. Find the area of the two crossroads<\/a><\/li><li><a href=\"#2-add-the-areas-of-both-crossroads\">2. Add the areas of both crossroads<\/a><\/li><li><a href=\"#3-deduct-a-2-meter-by-2-meter-area\">3. Deduct a 2 meter by 2 meter area<\/a><\/li><li><a href=\"#4-calculate-the-cost\">4. Calculate the cost<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"819\" src=\"https:\/\/www.edunoolympiad.com\/blog\/wp-content\/uploads\/2023\/11\/img-1-1024x819.jpg\" alt=\"two 2 m wide cross roads in a lawn 150 m by 120 m dimensions\" class=\"wp-image-84\" title=\"\" srcset=\"https:\/\/www.edunoolympiad.com\/blog\/wp-content\/uploads\/2023\/11\/img-1-1024x819.jpg 1024w, https:\/\/www.edunoolympiad.com\/blog\/wp-content\/uploads\/2023\/11\/img-1-300x240.jpg 300w, https:\/\/www.edunoolympiad.com\/blog\/wp-content\/uploads\/2023\/11\/img-1-768x614.jpg 768w, https:\/\/www.edunoolympiad.com\/blog\/wp-content\/uploads\/2023\/11\/img-1.jpg 1500w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Two 2 m wide cross roads<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"solution-of-two-2-m-wide-cross-roads-in-a-lawn-150-m-by-120-m-dimensions\">Solution of &#8220;Two 2 m wide cross roads in a lawn 150 m by 120 m dimensions&#8230;&#8221;<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-find-the-area-of-the-two-crossroads\"><strong>1<\/strong>. Find the area of the two crossroads<\/h3>\n\n\n\n<p>We need to find the area of the two crossroads. One of the crossroads is parallel to the length, and the other is parallel to the breadth. Each crossroad is 2 meters wide.<\/p>\n\n\n\n<p>Area of the Lengthwise Crossroad = Length of Lawn \u00d7 Width of Crossroad<\/p>\n\n\n\n<p>Area of the Lengthwise Crossroad = 150 m \u00d7 2 m<\/p>\n\n\n\n<p>Area of the Lengthwise Crossroad = 300 square meters<\/p>\n\n\n\n<p>Area of the Breadth-wise Crossroad = Breadth of Lawn \u00d7 Width of Crossroad<\/p>\n\n\n\n<p>Area of the Breadth-wise Crossroad = 120 m \u00d7 2 m<\/p>\n\n\n\n<p>Area of the Breadth-wise Crossroad = 240 square meters<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-add-the-areas-of-both-crossroads\"><strong>2. <\/strong>Add the areas of both crossroads<\/h3>\n\n\n\n<p>Now, add the areas of both crossroads to find the total area of the roads:<\/p>\n\n\n\n<p>Total Area of Roads = Area of Length-wise Crossroad + Area of Breadth-wise Crossroad<\/p>\n\n\n\n<p>Total Area of Roads = 300 square meters + 240 square meters<\/p>\n\n\n\n<p>Total Area of Roads = 540 square meters<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-deduct-a-2-meter-by-2-meter-area\"><strong>3.<\/strong> Deduct a 2 meter by 2 meter area<\/h3>\n\n\n\n<p>Now, we need to deduct a 2 meter by 2 meter area from this total area because it is overlapping:<\/p>\n\n\n\n<p>Area to Deduct = 2 meters \u00d7 2 meters = 4 square meters<\/p>\n\n\n\n<p>Subtract this area from the total area:<\/p>\n\n\n\n<p>Remaining Area = Total Area of Roads &#8211; Area to Deduct<\/p>\n\n\n\n<p>Remaining Area = 540 square meters &#8211; 4 square meters<\/p>\n\n\n\n<p>Remaining Area = 536 square meters<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4-calculate-the-cost\"><strong>4.<\/strong> Calculate the cost<\/h3>\n\n\n\n<p>Now, calculate the cost for the remaining area at Rs. 2 per square meter:<\/p>\n\n\n\n<p>Cost = Remaining Area \u00d7 Cost per Square Meter<\/p>\n\n\n\n<p>Cost = 536 square meters \u00d7 Rs. 2\/square meter<\/p>\n\n\n\n<p>Cost = Rs. 1,072<\/p>\n\n\n\n<p><strong>So, the cost involved in leveling the two crossroads on the lawn would be Rs. 1,072.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>To find the cost involved in leveling the two crossroads on the lawn, we need to calculate the total area.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[26,27],"tags":[28],"class_list":["post-82","post","type-post","status-publish","format-standard","hentry","category-class-8","category-maths","tag-2-m-wide-cross-roads-in-a-lawn-150-m-by-120-m-dimensions"],"_links":{"self":[{"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/posts\/82","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/comments?post=82"}],"version-history":[{"count":5,"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/posts\/82\/revisions"}],"predecessor-version":[{"id":318,"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/posts\/82\/revisions\/318"}],"wp:attachment":[{"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/media?parent=82"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/categories?post=82"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.edunoolympiad.com\/blog\/wp-json\/wp\/v2\/tags?post=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}