Question 12
The segment $AB$ measures $20$ cm. The polygonal curve connecting the points $A$ and $B$ together with the segment $AB$ forms $7$ equilateral triangles. No segment of the polygonal curve lies on the segment $AB$. How long, in centimeters, is this polygonal curve?

(A) $40\sqrt{3}$
(B) $40$
(C) $20 + 20\sqrt{3}$
(D) $20 + 20\sqrt{2}$
(E) Impossible to determine.

(A) $40\sqrt{3}$
(B) $40$
(C) $20 + 20\sqrt{3}$
(D) $20 + 20\sqrt{2}$
(E) Impossible to determine.