2022 SSMO Speed Round Problems/Problem 3

Problem

Let $ABCD$ be a parallelogram such that $E$ is a point on $CD$ such that $\frac{CE}{DE}=\frac{2}{3}.$ Suppose that $BE$ and $AC$ intersect at $F.$ If the area of triangle $AEF$ is $15,$ find the area of $ABCD$ .

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2022 SSMO Speed Round Problems/Problem 3

Problem

Solution