2003 Cayley Problem 22

In the diagram, \triangle ABC is isosceles with AB = AC and BC = 30 cm. Square EFGH, which has a side length of 12 cm, is inscribed in \triangle ABC, as shown. The area of \triangle AEF, in cm^2, is

\textbf{(A)}\ 27\quad \textbf{(B)}\ 54\quad \textbf{(C)}\ 51\quad \textbf{(D)}\ 48\quad \textbf{(E)}\ 60

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

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