ISEE Mathematics Achievement Question 276: Answer and Explanation

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Question: 276

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

  • A. 64p2
  • B. 8p2
  • C. 64p
  • D. 8p

Correct Answer: D

Explanation:

D 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 (C) 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 (B) has p2, which would be 4, so eliminate (B). Choice (D) has p, which is 2. This matches, so the correct answer is (D).

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