Parallelogram Perpendiculars

Geometry Level 3

A parallelogram ABCDABCD has perimeter equal to 124 124 . Let EE be the foot of the perpendicular from AA to BCBC, and let FF be the foot of the perpendicular from AA to CDCD. If AE=7AE= 7 and AF=24AF=24, what is the area of the parallelogram?

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