SEAMO 2027 - Paper E - SET 09 - Self-study Question 11

In trapezium $ABCD$, $AD\parallel BC$ and $\angle ADC=90^\circ$. Point $M$ is the midpoint of $AB$, $CM=13/2$ cm, and $BC+CD+DA=17$ cm. Find the area of $ABCD$ in $\mathrm{cm}^2$.