In the diagram below, \(ABCD\) is a trapezium in which \(AD=13\) cm, \(AB=10\) cm, \(BC=20\) cm and \(\angle DAB=90{}^\circ \). \(E\) and \(F\) are points on \(AD\) and \(AB\) respectively such that \(AE=6\) cm and \(AF=8\) cm.
Find the area of the shaded region \(EFBC\).

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