CAYLEY 2000 Problem 17

Past Contests CAYLEY CAYLEY - 2000
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In the regular hexagon ABCDEF two of the diagonals, FC and BD, intersect at G. The ratio of the area of quadrilateral FEDG to \triangle{BCG} is

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Answer Choices
A. 3\sqrt3:1
B. 4:1
C. 6:1
D. 2\sqrt3:1
E. 5:1