AMC8 2008 Problem 23

In square A B C E, A F=2 F E and C D=2 D E. What is the ratio of the area of \triangle B F D to the area of square A B C E ?
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Answer Choices
A. \dfrac{1}{6}
B. \dfrac{2}{9}
C. \dfrac{5}{18}
D. \dfrac{1}{3}
E. \dfrac{7}{20}