{"id":4473,"date":"2024-03-05T16:06:47","date_gmt":"2024-03-05T16:06:47","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4473"},"modified":"2024-03-05T16:06:47","modified_gmt":"2024-03-05T16:06:47","slug":"a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/","title":{"rendered":"A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;60 m&#8221; option2=&#8221;55 m&#8221; option3=&#8221;50 m&#8221; option4=&#8221;70 m&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is (c) 50 m.<\/p>\n<p>Let $x$ be the length of the side of the square field. The area of the square field is $x^2$. The area of the path is $x^2 &#8211; (x+2.5)^2 = 625$. Expanding the right-hand side, we get $x^2 &#8211; 2x &#8211; 6.25 = 0$. Factoring, we get $(x-25)(x+2.5) = 0$. Therefore, $x = 25$ or $x = -2.5$. Since the length of a side of a square cannot be negative, the length of the side of the square field is $x = 25$ m.<\/p>\n<p>The other options are incorrect because they are not the lengths of the sides of a square with an area of 625 square meters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;60 m&#8221; option2=&#8221;55 m&#8221; option3=&#8221;50 m&#8221; option4=&#8221;70 m&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41],"tags":[],"class_list":["post-4473","post","type-post","status-publish","format-standard","hentry","category-geometry","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the length of the side of the square field. The area of the square field is $x^2$. The area of the path is $x^2 - (x+2.5)^2 = 625$. Expanding the right-hand side, we get $x^2 - 2x - 6.25 = 0$. Factoring, we get $(x-25)(x+2.5) = 0$. Therefore, $x = 25$ or $x = -2.5$. Since the length of a side of a square cannot be negative, the length of the side of the square field is $x = 25$ m.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the length of the side of the square field. The area of the square field is $x^2$. The area of the path is $x^2 - (x+2.5)^2 = 625$. Expanding the right-hand side, we get $x^2 - 2x - 6.25 = 0$. Factoring, we get $(x-25)(x+2.5) = 0$. Therefore, $x = 25$ or $x = -2.5$. Since the length of a side of a square cannot be negative, the length of the side of the square field is $x = 25$ m.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T16:06:47+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?","description":"Let $x$ be the length of the side of the square field. The area of the square field is $x^2$. The area of the path is $x^2 - (x+2.5)^2 = 625$. Expanding the right-hand side, we get $x^2 - 2x - 6.25 = 0$. Factoring, we get $(x-25)(x+2.5) = 0$. Therefore, $x = 25$ or $x = -2.5$. Since the length of a side of a square cannot be negative, the length of the side of the square field is $x = 25$ m.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/","og_locale":"en_US","og_type":"article","og_title":"A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?","og_description":"Let $x$ be the length of the side of the square field. The area of the square field is $x^2$. The area of the path is $x^2 - (x+2.5)^2 = 625$. Expanding the right-hand side, we get $x^2 - 2x - 6.25 = 0$. Factoring, we get $(x-25)(x+2.5) = 0$. Therefore, $x = 25$ or $x = -2.5$. Since the length of a side of a square cannot be negative, the length of the side of the square field is $x = 25$ m.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T16:06:47+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/","name":"A path of uniform width of 2.5 m runs outside a square field all around. What will be the length of the side of the square field, if the area of the path is 625 sq. m?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T16:06:47+00:00","dateModified":"2024-03-05T16:06:47+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the length of the side of the square field. The area of the square field is $x^2$. The area of the path is $x^2 - (x+2.5)^2 = 625$. Expanding the right-hand side, we get $x^2 - 2x - 6.25 = 0$. Factoring, we get $(x-25)(x+2.5) = 0$. Therefore, $x = 25$ or $x = -2.5$. Since the length of a side of a square cannot be negative, the length of the side of the square field is $x = 25$ m.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-path-of-uniform-width-of-2-5-m-runs-outside-a-square-field-all-around-what-will-be-the-length-of-the-side-of-the-square-field-if-the-area-of-the-path-is-625-sq-m\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"geometry","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/geometry\/"},{"@type":"ListItem","position":4,"name":"A path of uniform width of 2.5 m runs outside a square field all around. 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