2012 AMC 8 Problem 23

An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle is 4, what is the area of the hexagon?

\textbf{(A)}\ 4\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 4\sqrt3\qquad\textbf{(E)}\ 6\sqrt3

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