Trapezium With Quadrilateral

Geometry Level 4

In the figure, \(AFD\), \(BCD\) and \(CFE\) are straight lines. It is given that \(AB\) is parallel to \(ED\), \(AB : ED = 5 : 7\) and \(BC : CD = 2:3\). If the area of \(\triangle CDF\) is \(63 \text{cm}^2\), then what is the area of \(ABCF\)?


Source: Lingnan Secondary School Post-Mock Exam Paper.
Thanks to my student Chang Chi Kong for his contribution.
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