# Parallelogram Perpendiculars

Geometry Level 3

A parallelogram $ABCD$ has perimeter equal to $124$. Let $E$ be the foot of the perpendicular from $A$ to $BC$, and let $F$ be the foot of the perpendicular from $A$ to $CD$. If $AE= 7$ and $AF=24$, what is the area of the parallelogram?

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