SEAMO 2027 - Paper E - SET 05 - Self-study Question 25

$ABCD$ is a parallelogram, with $FH\parallel AD$ and $EG\parallel AB$, as shown; the two segments intersect at $M$. The area of $DEMH$ is $9\text{ cm}^2$ and the area of $BFMG$ is $15\text{ cm}^2$. Find the area of triangle $AMC$ in square centimetres.



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