In the diagram, A AEC is acute, B
lies on AC, D lies on EC, and AD
and BE intersect at F. If
DC = 5(DE) and
AB: BC = 4:5, then the ratio of
the area of A ABF to the area of
quadrilateral BCDF is k: w where
k and w are positive integers. Find
the smallest possible value of
(
kt w).
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