Question 33
In the following diagram, $ABCD$ is a square, and $E$ is the center of the square $ABCD$. $P$ is a point on a semi-circle with diameter $AB$. $Q$ is a point on a semi-circle with diameter $AD$. Moreover, $Q,A$ and $P$ are collinear (that is, they are on the same line). Suppose $QA=14$ cm, $AP=46$ cm, and $AE=x$ cm. Find the value of $x$.
