The area of a regular hexagon is 2048

A regular hexagon is made of 6 equilateral triangles
Area of one equilateral triangle = $ \frac{\sqrt{3}}{4}a^2 $
Area of hexagon = $ 6 \times \frac{\sqrt{3}}{4}a^2 = \frac{3\sqrt{3}}{2}a^2 $
Given area = $ 2048\sqrt{3} $
$ \frac{3\sqrt{3}}{2}a^2 = 2048\sqrt{3} $
$ \frac{3}{2}a^2 = 2048 $
$ a^2 = \frac{4096}{3} $
$ a = \sqrt{\frac{4096}{3}} = \frac{64}{\sqrt{3}} = \frac{64\sqrt{3}}{3} $
Correct option: $\frac{64\sqrt{3}}{3}$