SAT Math Multiple Choice Practice Question 96: Answer and Explanation

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Question: 96

8.

What is the total area of the trapezoid pictured above?

A.
B.
C. 64
D.
E.

Correct Answer: B

Explanation:

B. This trapezoid has a rectangle in the middle, a 45-45-90 triangle on the left, and a 30-60-90 triangle on the right, so I suggest dividing it up into its three pieces. The rectangle's area is just 4 × 10 = 40. The left triangle is isosceles, so its base and height are both 4, and its area is (4 × 4) ÷ 2 = 8. In the triangle on the right, 4 is the shortest side, which makes the hypotenuse 8 and the base . Thus, its area is (4 × ) ÷ 2 = . Putting them all together gives you Choice (B).

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