FERMAT 2001 Problem 7

Past Contests FERMAT FERMAT - 2001
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1

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

Image

Answer Choices
A. 1
B. 2\sqrt2
C. \frac43
D. \frac32
E. 4-\frac32\sqrt2