AMC 8 2016 Problem 22

Rectangle $DEFA$ below is a $3 \times 4$ rectangle with $DC=CB=BA=1$. The area of the "bat wings" (shaded area) is

$\textbf{(A) }2 \textbf{(B) }2 \frac{1}{2} \textbf{(C) }3 \textbf{(D) }3 \frac{1}{2} \textbf{(E) }5$