SAT Math Multiple Choice Practice Question 368: Answer and Explanation

Next steps

Question: 368

16.

In the figure above, ΔACF 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.

Previous       Next