CEMC Fermat, 2001

Geometry Difficulty 1.0 Junior Find the answer Canada

In the diagram, square $ABCD$ has side length $2$ , with $M$ the midpoint of $BC$ and $N$ the midpoint of $CD$ . The area of the shaded region $BMND$ is

(A) $1$ (B) $2\sqrt{2}$ (C) $\frac{4}{3}$ (D) $\frac{3}{2}$ (E) $4 - \frac{3}{2}\sqrt{2}$

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