{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-11-29T05:48:46+00:00","modifiedTime":"2017-11-29T05:48:46+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 Combined Shapes","strippedTitle":"ged math extra prep: perimeter and area of combined shapes","slug":"ged-math-extra-prep-perimeter-area-combined-shapes","canonicalUrl":"","seo":{"metaDescription":"Some questions on the GED Math test will take geometry problems to the next level by combining two-dimensional shapes and asking you to calculate their total pe","noIndex":0,"noFollow":0},"content":"Some questions on the GED Math test will take geometry problems to the next level by combining two-dimensional shapes and asking you to calculate their total perimeter or area.\r\n<h2 id=\"tab1\" >Practice Questions</h2>\r\n<em>Both questions are based on the following image, which shows a rectangle with a semicircular top.</em>\r\n\r\n<img class=\"alignnone size-full wp-image-247560\" src=\"https://www.dummies.com/wp-content/uploads/ged-perimeter.jpg\" alt=\"ged-perimeter\" width=\"350\" height=\"561\" />\r\n<ol>\r\n \t<li>What is the perimeter of the shape?\r\n<img class=\"alignnone size-full wp-image-247561\" src=\"https://www.dummies.com/wp-content/uploads/GED_1701.jpg\" alt=\"GED_1701\" width=\"112\" height=\"87\" /></li>\r\n \t<li>What is the area of the shape?\r\n<img class=\"alignnone size-full wp-image-247562\" src=\"https://www.dummies.com/wp-content/uploads/GED_1702.jpg\" alt=\"GED_1702\" width=\"121\" height=\"87\" /></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and Explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.\r\n\r\nThe length of the curved part of the semicircle equals half the circumference of the circle (whose diameter equals 20 mm). The circumference of a full circle is\r\n\r\n<img class=\"alignnone size-full wp-image-247563\" src=\"https://www.dummies.com/wp-content/uploads/GED_1703.jpg\" alt=\"GED_1703\" width=\"57\" height=\"20\" />\r\n\r\nso the length is\r\n\r\n<img class=\"alignnone size-full wp-image-247564\" src=\"https://www.dummies.com/wp-content/uploads/GED_1704.jpg\" alt=\"GED_1704\" width=\"175\" height=\"45\" />\r\n\r\nThe perimeter of the shape consists of this curved length plus the other three sides of the rectangle:\r\n\r\n<img class=\"alignnone size-full wp-image-247565\" src=\"https://www.dummies.com/wp-content/uploads/GED_1705.jpg\" alt=\"GED_1705\" width=\"252\" height=\"20\" />\r\n\r\nThe correct answer is Choice (C).</li>\r\n \t<li>The correct answer is B.\r\n\r\nThe area of the semicircle is half the area of the full circle (whose diameter equals 20 mm and whose radius equals 10 mm). The area of a full circle is\r\n\r\n<img class=\"alignnone size-full wp-image-247566\" src=\"https://www.dummies.com/wp-content/uploads/GED_1706.jpg\" alt=\"GED_1706\" width=\"189\" height=\"79\" />\r\n\r\nThe area of the shape consists of the area of the semicircle plus the area of the rectangle:\r\n\r\n<img class=\"alignnone size-full wp-image-247567\" src=\"https://www.dummies.com/wp-content/uploads/GED_1707.jpg\" alt=\"GED_1707\" width=\"240\" height=\"31\" />\r\n\r\nHence, the correct answer is Choice (B).</li>\r\n</ol>","description":"Some questions on the GED Math test will take geometry problems to the next level by combining two-dimensional shapes and asking you to calculate their total perimeter or area.\r\n<h2 id=\"tab1\" >Practice Questions</h2>\r\n<em>Both questions are based on the following image, which shows a rectangle with a semicircular top.</em>\r\n\r\n<img class=\"alignnone size-full wp-image-247560\" src=\"https://www.dummies.com/wp-content/uploads/ged-perimeter.jpg\" alt=\"ged-perimeter\" width=\"350\" height=\"561\" />\r\n<ol>\r\n \t<li>What is the perimeter of the shape?\r\n<img class=\"alignnone size-full wp-image-247561\" src=\"https://www.dummies.com/wp-content/uploads/GED_1701.jpg\" alt=\"GED_1701\" width=\"112\" height=\"87\" /></li>\r\n \t<li>What is the area of the shape?\r\n<img class=\"alignnone size-full wp-image-247562\" src=\"https://www.dummies.com/wp-content/uploads/GED_1702.jpg\" alt=\"GED_1702\" width=\"121\" height=\"87\" /></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and Explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.\r\n\r\nThe length of the curved part of the semicircle equals half the circumference of the circle (whose diameter equals 20 mm). The circumference of a full circle is\r\n\r\n<img class=\"alignnone size-full wp-image-247563\" src=\"https://www.dummies.com/wp-content/uploads/GED_1703.jpg\" alt=\"GED_1703\" width=\"57\" height=\"20\" />\r\n\r\nso the length is\r\n\r\n<img class=\"alignnone size-full wp-image-247564\" src=\"https://www.dummies.com/wp-content/uploads/GED_1704.jpg\" alt=\"GED_1704\" width=\"175\" height=\"45\" />\r\n\r\nThe perimeter of the shape consists of this curved length plus the other three sides of the rectangle:\r\n\r\n<img class=\"alignnone size-full wp-image-247565\" src=\"https://www.dummies.com/wp-content/uploads/GED_1705.jpg\" alt=\"GED_1705\" width=\"252\" height=\"20\" />\r\n\r\nThe correct answer is Choice (C).</li>\r\n \t<li>The correct answer is B.\r\n\r\nThe area of the semicircle is half the area of the full circle (whose diameter equals 20 mm and whose radius equals 10 mm). The area of a full circle is\r\n\r\n<img class=\"alignnone size-full wp-image-247566\" src=\"https://www.dummies.com/wp-content/uploads/GED_1706.jpg\" alt=\"GED_1706\" width=\"189\" height=\"79\" />\r\n\r\nThe area of the shape consists of the area of the semicircle plus the area of the rectangle:\r\n\r\n<img class=\"alignnone size-full wp-image-247567\" src=\"https://www.dummies.com/wp-content/uploads/GED_1707.jpg\" alt=\"GED_1707\" width=\"240\" height=\"31\" />\r\n\r\nHence, the correct answer is Choice (B).</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 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GED Math Extra Prep: Perimeter and Area of Combined Shapes

By: The Experts at Dummies and

Updated: 11-29-2017

From The Book: GED Test

GED Test

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Some questions on the GED Math test will take geometry problems to the next level by combining two-dimensional shapes and asking you to calculate their total perimeter or area.

Practice Questions

Both questions are based on the following image, which shows a rectangle with a semicircular top.

ged-perimeter

What is the perimeter of the shape?
What is the area of the shape?

Answers and Explanations

The correct answer is C.
The length of the curved part of the semicircle equals half the circumference of the circle (whose diameter equals 20 mm). The circumference of a full circle is
so the length is
The perimeter of the shape consists of this curved length plus the other three sides of the rectangle:
The correct answer is Choice (C).
The correct answer is B.
The area of the semicircle is half the area of the full circle (whose diameter equals 20 mm and whose radius equals 10 mm). The area of a full circle is
The area of the shape consists of the area of the semicircle plus the area of the rectangle:
Hence, the correct answer is Choice (B).

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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