SAT Math Multiple Choice Practice Question 538: Answer and Explanation

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Question: 538

16.

Note: Figure not drawn to scale.

If B is the midpoint of and E is the midpoint of , what fraction of ΔACD is shaded?

A.
B.
C.
D.
E.

Correct Answer: E

Explanation:

E Plug in numbers for the base and height of triangle ACD. For example, AC = 10 and AD = 8. The area of ACD is therefore (10)(8) = 40. The area of ABE is (5)(4) = 10. The area of the shaded region is therefore 40 – 10 = 30, so the fraction of ACD that is shaded is .

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