# 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 Δ*ACD* 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 .