Consider an electric field $$\overrightarrow{E} = E_0\hat{x}$$, where $$E_0$$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is-

A

$$2 E_0 a^2$$

B

$$\sqrt{2} E_0 a^2$$

C

$$E_0 a^2$$

D

$$\frac{E_0 a^2}{\sqrt{2}}$$