CAYLEY 2002 Problem 23

In trapezoid ABCD,AD is parallel to BC. Also, BD is perpendicular to DC. The point F is chosen on line BD so that AF is perpendicular to BD. AF is extended to meet BC at point E. If AB=41,AD=50 and BF=9, what is the area of quadrilateral FECD?

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Answer Choices
A. 900
B. 1523.5
C. 960
D. 1560
E. 1300