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Quadrilateral $ABCD$ is a parallelogram.  Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$  The area of triangle $EAD$ is $9.$  If $AE:EB = 3:4$ and the height of parallelogram $ABCD$ is $10$, then find the area of parallelogram $ABCD$.

 
 Jan 13, 2024

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