Let $$ABC$$ be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle $$ABC$$ and the same process is repeated infinitely many times. If $$P$$ is the sum of perimeters and $$Q$$ is be the sum of areas of all the triangles formed in this process, then :

A

$$P^2 = 6\sqrt{3}Q$$

B

$$P^2 = 36\sqrt{3}Q$$

C

$$P = 36\sqrt{3}Q^2$$

D

$$P^2 = 72\sqrt{3}Q$$