SSAT Math Question 601: Answer and Explanation

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Question: 601

12. If the area of a square is 64p², what is the length of one side of the square?

A. 64p²
B. 64p
C. 8p²
D. 8p

Correct Answer: D

Explanation:

Use the formula for the area of a square: A = s². If A = 64p², then to find the side length of the square, take the square root: = 8. Eliminate (A) and (B) since both choices have 64. For the square root of p², you can plug in for p. Pick an easy number like 2. If p = 2, then p² = 4. So = = 2, which means your answer should equal 2 when you plug in for p. Choice (C) has p², which would be 4, so eliminate (C). Choice (D) has p, which is 2. Keep it! Choice (E) is missing p, so it can't be correct. The correct answer is (D).

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