Bangladesh math olympiad problem

Geometry Level 3

\(ABCD\) is a quadrilateral where \(\angle B=\angle D=90^\circ\).\( E\) and \(F\) are two points on \(BD\) such that \(AE\) is perpendicular to \(BD\) and \(CF\parallel AE\). If \(DE = 8\) units, then find \(BF\).

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