16. A semicircle is drawn on each side of a square, as shown.
The square has sides of length $2 \pi$.
What is the area of the resulting shape?
A $2 \pi^{2}(\pi+1)$
B $\pi^{2}(\pi+2)$
C $2 \pi^{2}(2 \pi+1)$
D $\pi^{2}(\pi+4)$
E $2 \pi^{2}(\pi+2)$