# SAT Math Multiple Choice Practice Question 368: Answer and Explanation

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**Question: 368**

**16.**

In the figure above, Δ*ACF* is equilateral, with sides of length 4. If *B, D*, and *E* are the midpoints of their respective sides, what is the sum of the areas of the shaded regions?

A.

B.

C.

D.

E.

**Correct Answer:** B

**Explanation:**

**B** Begin by finding the area of the big equilateral triangle. An equilateral triangle with sides of length 4 has a height of because the height divides the triangle into two 30°-60°-90° triangles.

The big triangle is divided into four equal parts, three of which are shaded, so the shaded area is ? of the total area.