SAT Math Multiple Choice Practice Question 545: Answer and Explanation

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Question: 545

2. A rectangle with length 16 and width 6 has an area that is 3 times the area of a triangle with height 8. What is the length of the base of the triangle?

A. 4
B. 8
C. 12
D. 16
E. 22

Correct Answer: B

Explanation:

B If a rectangle has length 16 and width 6, then its area will be the length times the width, or 16 × 6, which equals 96. If this is 3 times the area of a triangle, then the triangle will have an area of 32. If a triangle with area 32 has height of 8, you can use the triangle formula for area of a triangle to find the base: × base × height = area. 32 = b × 8, so base × 4 = 32. This means that the base is equal to 8.

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