SSAT Math Question 401: Answer and Explanation
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Question: 401
12. Let b represent the base of a rectangle. If the height of the rectangle is 4 less than the base, which expression would represent the perimeter of the rectangle?
- A. 2b – 4
- B. 2b – 8
- C. 4b – 4
- D. 4b – 8
Correct Answer: D
Explanation:
D
The base of the rectangle is give as b. If the height of the rectangle is 4 less than the base, then the height is b – 4. As perimeter is the sum of the sides, or 2(b + h), the perimeter of the rectangle is 2(b + b – 4) = 2(2b – 4) = 4b – 8.
Plug in a value for b, such as b = 10. As the height is 4 less than the base, the base is 6. The perimeter (all sides added) is 32. Only choice (D) yields 32 when 10 is plugged in.