If each side of \(\triangle ACD\) above has length \(3\) and if \(AB\) has length \(1,\) what is the area of region

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If each side of \(\triangle ACD\) above has length \(3\) and if \(AB\) has length \(1,\) what is the area of region \(BCDE?\)

(A) \(\dfrac94\)

(B) \(\dfrac74\sqrt3\)

(C) \(\dfrac94\sqrt3\)

(D) \(\dfrac72\sqrt3\)

(E) \(6+\sqrt3\)

Answer: B

Source: GMAT Paper Tests
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