Algebra 2 · Superchallenge problem

Let $S$ be the set of points $(x,y)$ with $|2x+y| + |x-2y| \le 5$, and let $D$ be the set of points with $|x| + |y| \le 2$. Find the area of the part of $S$ that lies outside $D$. Express your answer as a common fraction.