Let $$B$$ and $$C$$ be the two points on the line $$y + x = 0$$ such that $$B$$ and $$C$$ are symmetric with respect to the origin. Suppose $$A$$ is a point on $$y - 2x = 2$$ such that $$\triangle ABC$$ is an equilateral triangle. Then, the area of the $$\triangle ABC$$ is

A

$$3\sqrt{3}$$

B

$$2\sqrt{3}$$

C

$$\frac{8}{\sqrt{3}}$$

D

$$\frac{10}{\sqrt{3}}$$