CAYLEY 2003 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

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Answer Choices
A. 27
B. 54
C. 51
D. 48
E. 60