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APMOPS 2015 Question 20

APMOPS · APMOPS 2015

Question 20

The diagram below shows a square $ABCD$ and the points $E$ and $F$ are mid-points of $AD$ and $CD$ respectively. $BE$ and $BF$ intersect the diagonal $AC$ at points $M$ and $N$ respectively. Given that the area of the square is 48 cm$^2$, find the area of the pentagon $EDFNM$.

Question illustration