AMC 8 2007 Problem 23

What is the area of the shaded pinwheel shown in the $5 \times 5$ grid?

$\textbf{(A)}\: 4 \textbf{(B)}\: 6 \textbf{(C)}\: 8 \textbf{(D)}\: 10 \textbf{(E)}\: 12$