An equilateral triangle of side 12 cm is drawn. What is the area (in cm$$^2$$) of the largest square which can be drawn inside it?

A

$$1512 - 864\surd3$$

B

$$3024 - 1728\surd3$$

C

$$3024 + 1728\surd3$$

D

$$1512 + 864\surd3$$