ISEE Word Problems Question 262: Answer and Explanation

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Question: 262

11. Use the rectangle to answer the question.

Which of the following distances is closest to 13?

  • A. PO
  • B. QO
  • C. RO
  • D. SO

Correct Answer: C

Explanation:

C

Use the distance formula for each answer: , which because one of the points is (0, 0) is . Choice (A) yields 5, choice (B) yields , choice (C) yields , and choice (D) yields 4 . As 13 = , choice (C) is closest.

Begin by estimating. Choices (A) and (D) are clearly too small. For the other two answers, draw in a line, creating a right triangle. While you can use the Pythagorean theorem, you may recall that one of the Pythagorean triples is 5-12-13. Therefore, the triangle with legs of 12 and 4 will have a hypo

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