CAYLEY 1997 Problem 22

Past Contests CAYLEY 1997
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1

In the diagram, \triangle{ABC} is equilateral, BC=2CD,AF=6, and DEF is perpendicular to AB. What is the area of quadrilateral FBCE?
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Answer Choices
A. 144\sqrt3
B. 138\sqrt3
C. 126\sqrt3
D. 108\sqrt3
E. 66\sqrt3