In the figure, each side of square $ABCD$ has length $1,$ the length of line segment $CE$ is $1,$ and the length

In the figure, each side of square $ABCD$ has length $1,$ the length of line segment $CE$ is $1,$ and the length of line segment $BE$ is equal to the length of line segment $DE.$ What is the area of the triangular region $BCE?$

A. $\dfrac13$

B. $\dfrac{\sqrt2}4$

C. $\dfrac12$

D. $\dfrac{\sqrt2}2$

E. $\dfrac34$

Answer: B

Source: GMAT Prep

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