Quadrilateral Area

Geometry Level 4

\(ABCD\) is a cyclic quadrilateral with lengths \(AB=7, BC=24, CD=15\) and \(DA=20 \). Points \(E\) and \(F\) lie on line segment \(AC\) such that \(AE=EF=FC\). What is the area of quadrilateral \(BEDF\)?

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