Question 2
In the diagram below, $ABCD$ is a rectangle with side lengths $AB = 3$ and $BC = 11,$ and $AECF$ is a rectangle with side lengths $AF = 7$ and $FC = 9,$ as shown. The area of the shaded region common to the interiors of both rectangles is $\frac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$
