1970 AHSME Problem 24

An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle is 2, then the area of the hexagon is

\textbf{(A) }2\qquad \textbf{(B) }3\qquad \textbf{(C) }4\qquad \textbf{(D) }6\qquad \textbf{(E) }12

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.