{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-11-29T03:52:18+00:00","modifiedTime":"2017-11-29T03:52:18+00:00","timestamp":"2022-09-14T18:16:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GED","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"},"slug":"ged","categoryId":33783}],"title":"GED Math Extra Prep: Perimeter and Area of Rectangles","strippedTitle":"ged math extra prep: perimeter and area of rectangles","slug":"ged-math-extra-prep-perimeter-area-rectangles","canonicalUrl":"","seo":{"metaDescription":"If the GED Math test gives you a question involving the perimeter or area of a rectangle, you'll save time if you memorize those formulas beforehand. The follow","noIndex":0,"noFollow":0},"content":"If the GED Math test gives you a question involving the perimeter or area of a rectangle, you'll save time if you memorize those formulas beforehand. The following practice questions will let you know if you need to refresh your memory.\r\n<h2 id=\"tab1\" >Practice Questions</h2>\r\n<em>Both questions are based on the following rectangle.</em>\r\n\r\n<img class=\"alignnone size-full wp-image-247504\" src=\"https://www.dummies.com/wp-content/uploads/ged-rectangle.jpg\" alt=\"ged-rectangle\" width=\"535\" height=\"295\" />\r\n<ol>\r\n \t<li>What is the area of the rectangle? (Give your answer to the nearest square inch.)\r\n<strong>A.</strong> 10\r\n<strong>B.</strong> 17\r\n<strong>C.</strong> 18\r\n<strong>D.</strong> 210</li>\r\n \t<li>If the rectangle were enlarged by a factor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new perimeter to the old perimeter?\r\n<strong>A.</strong> 1:3\r\n<strong>B.</strong> 1:9\r\n<strong>C.</strong> 3:1\r\n<strong>D.</strong> 9:1</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and Explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is D.\r\n\r\nThe width of the rectangle is given as 7 inches. Note that the length of the rectangle is 2.5 feet, which needs to be multiplied by 12 to convert into inches:\r\n\r\n<em>l</em> = 2.5 (12) = 30\r\n\r\nMultiply the length by the width to calculate the area of the rectangle:\r\n\r\n<em>A</em> = <em>lw</em> = (30)(7) = 210\r\n\r\nHence, Choice (D) is the correct answer.</li>\r\n \t<li>The correct answer is C.\r\n\r\nThe perimeter <em>P</em> of a rectangle of length <em>l</em> and width <em>w</em> is given by the following formula:\r\n\r\n<em>P</em> = 2<em>l</em> + 2<em>w</em>\r\n\r\nThe new length of the rectangle is 3<em>l</em> and the new width is 3<em>w,</em> so the new perimeter will simply be 3 times longer than the old perimeter:\r\n\r\n<img class=\"alignnone size-full wp-image-247505\" src=\"https://www.dummies.com/wp-content/uploads/eq0901.jpg\" alt=\"eq0901\" width=\"157\" height=\"88\" />\r\n\r\nHence, the ratio of the new perimeter to the old perimeter is 3:1, making Choice (C) correct.</li>\r\n</ol>","description":"If the GED Math test gives you a question involving the perimeter or area of a rectangle, you'll save time if you memorize those formulas beforehand. The following practice questions will let you know if you need to refresh your memory.\r\n<h2 id=\"tab1\" >Practice Questions</h2>\r\n<em>Both questions are based on the following rectangle.</em>\r\n\r\n<img class=\"alignnone size-full wp-image-247504\" src=\"https://www.dummies.com/wp-content/uploads/ged-rectangle.jpg\" alt=\"ged-rectangle\" width=\"535\" height=\"295\" />\r\n<ol>\r\n \t<li>What is the area of the rectangle? (Give your answer to the nearest square inch.)\r\n<strong>A.</strong> 10\r\n<strong>B.</strong> 17\r\n<strong>C.</strong> 18\r\n<strong>D.</strong> 210</li>\r\n \t<li>If the rectangle were enlarged by a factor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new perimeter to the old perimeter?\r\n<strong>A.</strong> 1:3\r\n<strong>B.</strong> 1:9\r\n<strong>C.</strong> 3:1\r\n<strong>D.</strong> 9:1</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and Explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is D.\r\n\r\nThe width of the rectangle is given as 7 inches. Note that the length of the rectangle is 2.5 feet, which needs to be multiplied by 12 to convert into inches:\r\n\r\n<em>l</em> = 2.5 (12) = 30\r\n\r\nMultiply the length by the width to calculate the area of the rectangle:\r\n\r\n<em>A</em> = <em>lw</em> = (30)(7) = 210\r\n\r\nHence, Choice (D) is the correct answer.</li>\r\n \t<li>The correct answer is C.\r\n\r\nThe perimeter <em>P</em> of a rectangle of length <em>l</em> and width <em>w</em> is given by the following formula:\r\n\r\n<em>P</em> = 2<em>l</em> + 2<em>w</em>\r\n\r\nThe new length of the rectangle is 3<em>l</em> and the new width is 3<em>w,</em> so the new perimeter will simply be 3 times longer than the old perimeter:\r\n\r\n<img class=\"alignnone size-full wp-image-247505\" src=\"https://www.dummies.com/wp-content/uploads/eq0901.jpg\" alt=\"eq0901\" width=\"157\" height=\"88\" />\r\n\r\nHence, the ratio of the new perimeter to the old perimeter is 3:1, making Choice (C) correct.</li>\r\n</ol>","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33783,"title":"GED","slug":"ged","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":175788,"title":"Trig Identities for Pre-Calculus","slug":"trig-identities-for-pre-calculus","categoryList":["academics-the-arts","math","pre-calculus"],"_links":{"self":"/articles/175788"}},{"articleId":147241,"title":"How to Use the 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GED Math Extra Prep: Perimeter and Area of Rectangles

By: The Experts at Dummies and

Updated: 11-29-2017

From The Book: GED Test

GED Test

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If the GED Math test gives you a question involving the perimeter or area of a rectangle, you'll save time if you memorize those formulas beforehand. The following practice questions will let you know if you need to refresh your memory.

Practice Questions

Both questions are based on the following rectangle.

ged-rectangle

What is the area of the rectangle? (Give your answer to the nearest square inch.) A. 10 B. 17 C. 18 D. 210
If the rectangle were enlarged by a factor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new perimeter to the old perimeter? A. 1:3 B. 1:9 C. 3:1 D. 9:1

Answers and Explanations

The correct answer is D.
The width of the rectangle is given as 7 inches. Note that the length of the rectangle is 2.5 feet, which needs to be multiplied by 12 to convert into inches:
l = 2.5 (12) = 30
Multiply the length by the width to calculate the area of the rectangle:
A = lw = (30)(7) = 210
Hence, Choice (D) is the correct answer.
The correct answer is C.
The perimeter P of a rectangle of length l and width w is given by the following formula:
P = 2l + 2w
The new length of the rectangle is 3l and the new width is 3w, so the new perimeter will simply be 3 times longer than the old perimeter:
Hence, the ratio of the new perimeter to the old perimeter is 3:1, making Choice (C) correct.

About This Article

This article is from the book:

GED Test ,

About the book author:

Stuart Donnelly, PhD, earned his doctorate in mathe-matics from Oxford University at the age of 25. Since then, he has established successful tutoring services in both Hong Kong and the United States and is considered by leading educators to be one of the most experienced and qualified private tutors in the country.

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