Question 15
In the following diagram, $ABCD$ is a square of side $16$ cm. $E$ lies on $CD$ such that $|DE|=4$ cm. $M$ and $N$ lie on $AD$ and $BC$ respectively such that $MN$ is perpendicular to $BE$. $X$ is the intersection of $MN$ and $BE$. If $|MX|=11$ cm and $|BN|=x$ cm, what is the value of $x$?
