Question 7
Isosceles right triangle $ABC$ is right at $A$, with $AB=6$ cm. Points $M\in AB$, $N\in AC$ satisfy $AM=4$ cm, $AN=2$ cm. Points $P,Q\in BC$ are chosen so that $PM$ and $QN$ are perpendicular to $MN$. Find the area of quadrilateral $MNQP$ in cm².
