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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