Trapezium With Quadrilateral

Geometry Level 4

In the figure, AFDAFD, BCDBCD and CFECFE are straight lines. It is given that ABAB is parallel to EDED, AB:ED=5:7AB : ED = 5 : 7 and BC:CD=2:3BC : CD = 2:3. If the area of CDF\triangle CDF is 63cm263 \text{cm}^2, then what is the area of ABCFABCF?


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