Question 16Rhombus $ABCD$ has side length $2$ and $\angle B=120^\circ.$ Region $R$ consists of all points inside the rhombus that are closer to vertex $B$ than any of the other three vertices. What is the area of $R?$$\dfrac{\sqrt{3}}{3}$$\dfrac{\sqrt{3}}{2}$$\dfrac{2\sqrt{3}}{3}$$1+\dfrac{\sqrt{3}}{3}$$2$