{"id":4373,"date":"2013-06-29T05:45:58","date_gmt":"2013-06-29T05:45:58","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4373"},"modified":"2025-12-09T11:15:05","modified_gmt":"2025-12-09T17:15:05","slug":"area-and-perimeter-of-a-rectangle","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/area-and-perimeter-of-a-rectangle\/","title":{"rendered":"Finding the Area and Perimeter of a Rectangle"},"content":{"rendered":"<h1>Finding the Area and Perimeter of a Rectangle<\/h1>\n<div class=\"lyte-wrapper fourthree\" title=\"Area and Perimeter of a Rectangle\" style=\"width:420px;max-width:100%;margin:5px auto;\"><div class=\"lyMe\" id=\"WYL_QC6VhN5JCzk\"><div id=\"lyte_QC6VhN5JCzk\" data-src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/plugins\/wp-youtube-lyte\/lyteCache.php?origThumbUrl=https%3A%2F%2Fi.ytimg.com%2Fvi%2FQC6VhN5JCzk%2Fhqdefault.jpg\" class=\"pL\"><div class=\"tC\"><div class=\"tT\">Area and Perimeter of a Rectangle<\/div><\/div><div class=\"play\"><\/div><div class=\"ctrl\"><div class=\"Lctrl\"><\/div><div class=\"Rctrl\"><\/div><\/div><\/div><noscript><a href=\"https:\/\/youtu.be\/QC6VhN5JCzk\" rel=\"nofollow\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/plugins\/wp-youtube-lyte\/lyteCache.php?origThumbUrl=https%3A%2F%2Fi.ytimg.com%2Fvi%2FQC6VhN5JCzk%2F0.jpg\" alt=\"Area and Perimeter of a Rectangle\" width=\"420\" height=\"295\" \/><br \/>Watch this video on YouTube<\/a><\/noscript><\/div><\/div><div class=\"lL\" style=\"max-width:100%;width:420px;margin:5px auto;\"><\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>The area of a rectangle is found by multiplying the length times the width. The perimeter of the rectangle is found by multiplying 2 times the length, and then adding to that 2 times the width. The reason for that is that the opposite sides of a rectangle are congruent.<\/p>\n<p>If you are trying to find the distance around a rectangle, then you have two sides that have the same length and then two sides that have the same width. If you just multiply 2 times the length and 2 times the width, and add those together, then you\u2019ll find the perimeter of the rectangle. Let\u2019s look at our example.<\/p>\n<p>What is the area and perimeter of a rectangle with a 5ft length and a 3 ft width. We\u2019ve been given a word problem, but we already have this nice picture drawn here of a rectangle. What we can do is we have a 5ft length so we get rid of this l and put that our length is 5ft. Then our width is 3ft, we can get rid of this w and put that our width is 3ft.<\/p>\n<p>Now we\u2019re asked to find area, we should start with our area formula. Area = lw.  Area = 5ft \u00d7 3ft. The area is 5 times 3 is 15, ft times ft is ft<sup>2<\/sup>. Our area is 15ft<sup>2<\/sup>. The perimeter. Again, we need to start with our formula. Perimeter is 2 times the length plus 2 times the width. Our perimeter is 2 times, then our length was 5ft. We substitute 5ft for our length plus 2 times, and our width was 3ft. Substitute 3ft for width. P= 2(5ft) + 2(3ft).<\/p>\n<p>Then we need to follow PEMDAS, which means we need to multiply before we add. The perimeter is 2 \u00d7 5ft = 10ft, plus 2 \u00d7 3ft = 6ft. Finally, we add these together and find the sum. 10ft + 6ft = 16ft.  It would be 16ft all the way around our rectangle.<\/p>\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Finding the Area and Perimeter of a Rectangle<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4373","1":"page","2":"type-page","3":"status-publish","5":"page_type-video"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4373","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=4373"}],"version-history":[{"count":4,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4373\/revisions"}],"predecessor-version":[{"id":59107,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4373\/revisions\/59107"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}