2001 Gauss 7 Problem 22

A regular hexagon is inscribed in an equilateral triangle, as shown. If the hexagon has an area of 12, the area of this triangle is

\textbf{(A)}\ 20\quad \textbf{(B)}\ 16\quad \textbf{(C)}\ 15\quad \textbf{(D)}\ 18\quad \textbf{(E)}\ 24

If there are no answer choices shown, enter a numerical answer.

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