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I thought it was A. The perimeter of two equilateral triangles is 2a(Your problem said ∆AOF∆AOF, which means two triangles?) If x represents the length of each side, then 6x = 2a. Since the hexagon has six sides equal to the side of an equilateral triangle, the perimeter of the hexagon is 2a (b/c 6x = 2a)
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Bunuel

In the figure shown, ABCDEF is a regular hexagon and AOF is an equilateral triangle. The perimeter of ∆AOF∆AOF is 2a feet. What is the perimeter of the hexagon in feet?

(A) 2a

(B) 3a

(C) 4a

(D) 6a

(E) 12a


Attachment:
#GREpracticequestion In the figure shown, ABCDEF is.jpg

We see that each side of the triangle = each side of the hexagon = 2a/3, so the perimeter of the hexagon is 2a/3 x 6 = 4a.

Answer: C
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2a is perimeter of the equilateral triangle.
Hence, 2a/3 is one side of the triangle/hexagon.
Perimeter of the hexagon = 6 * 2a/3 = 4a.
A. C

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