SMO 2010 Senior Round 1 Question 10

Let $ABCD$ be a trapezium with $AD$ parallel to $BC$ and $\angle ADC=90^\circ$, as shown in the figure below. Given that $M$ is the midpoint of $AB$ with $CM=13/2$ cm and $BC+CD+DA=17$ cm, find the area of the trapezium $ABCD$ in cm$^2$.