{"id":44272,"date":"2025-06-30T14:48:37","date_gmt":"2025-06-30T14:48:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=44272"},"modified":"2025-06-30T14:48:38","modified_gmt":"2025-06-30T14:48:38","slug":"sid-has-a-rectangular-wooden-deck-that-measures-348-centimeters-by-792-centimeters","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/sid-has-a-rectangular-wooden-deck-that-measures-348-centimeters-by-792-centimeters\/","title":{"rendered":"Sid has a rectangular wooden deck that measures 348 centimeters by 792 centimeters."},"content":{"rendered":"\n<p>Sid has a rectangular wooden deck that measures 348 centimeters by 792 centimeters. He builds an addition to the deck that makes it 126 centimeters longer. What is the perimeter of his deck now?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s break this problem down step by step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understanding the Initial Dimensions of the Deck<\/h3>\n\n\n\n<p>Sid\u2019s original wooden deck is rectangular in shape. The dimensions of the deck are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length = 792 cm<\/li>\n\n\n\n<li>Width = 348 cm<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Addition to the Deck<\/h3>\n\n\n\n<p>Sid adds an extension to the deck that makes it 126 centimeters longer. This means that the length of the deck increases by 126 cm, so the new length will be:792\u2009cm+126\u2009cm=918\u2009cm792 \\, \\text{cm} + 126 \\, \\text{cm} = 918 \\, \\text{cm}792cm+126cm=918cm<\/p>\n\n\n\n<p>Thus, the new dimensions of the deck are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>New Length = 918 cm<\/li>\n\n\n\n<li>Width = 348 cm (the width stays the same)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculating the Perimeter of the New Deck<\/h3>\n\n\n\n<p>The formula for the perimeter PPP of a rectangle is:P=2\u00d7(Length+Width)P = 2 \\times (\\text{Length} + \\text{Width})P=2\u00d7(Length+Width)<\/p>\n\n\n\n<p>Substitute the new dimensions of the deck into this formula:P=2\u00d7(918\u2009cm+348\u2009cm)P = 2 \\times (918 \\, \\text{cm} + 348 \\, \\text{cm})P=2\u00d7(918cm+348cm)<\/p>\n\n\n\n<p>First, calculate the sum inside the parentheses:918\u2009cm+348\u2009cm=1266\u2009cm918 \\, \\text{cm} + 348 \\, \\text{cm} = 1266 \\, \\text{cm}918cm+348cm=1266cm<\/p>\n\n\n\n<p>Now multiply by 2 to find the perimeter:P=2\u00d71266\u2009cm=2532\u2009cmP = 2 \\times 1266 \\, \\text{cm} = 2532 \\, \\text{cm}P=2\u00d71266cm=2532cm<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The perimeter of Sid&#8217;s deck after the addition is <strong>2532 cm<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Process:<\/h3>\n\n\n\n<p>We started with the original dimensions of Sid\u2019s deck, which were given as a length of 792 cm and a width of 348 cm. The addition extended the length by 126 cm, resulting in a new length of 918 cm. We then used the formula for the perimeter of a rectangle, which requires adding the length and width and then multiplying by 2. After substituting the new values for the length and width, we calculated the perimeter to be 2532 cm. This is the total distance around the newly expanded deck.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1489.jpeg\" alt=\"\" class=\"wp-image-44277\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1489.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1489-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1489-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Sid has a rectangular wooden deck that measures 348 centimeters by 792 centimeters. He builds an addition to the deck that makes it 126 centimeters longer. What is the perimeter of his deck now? The Correct Answer and Explanation is: Let&#8217;s break this problem down step by step. Step 1: Understanding the Initial Dimensions of [&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-44272","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44272","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=44272"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44272\/revisions"}],"predecessor-version":[{"id":44278,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44272\/revisions\/44278"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}