SAT Math Multiple Choice Practice Question 166: Answer and Explanation

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Question: 166

12. Regular pentagon ABCDE has sides of length x. Regular pentagon FGHIJ has sides of length 2x. If the area of pentagon ABCDE is 20, then the area of pentagon FGHIJ is

A. 40
B. 80
C. 100
D. 200
E. 400

Correct Answer: B


B. Nothing fancy here: When you double all the sides of any shape, you quadruple its area. In general, if you multiply all the sides by n, you multiply the area by n2, so you multiply the area of the original pentagon (20) by n2 (22).

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