JEE Math Practice Question

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

1. A.$$\mathrm{P}^2=72 \sqrt{3} \mathrm{Q}$$
2. B.$$\mathrm{P}^2=36 \sqrt{3} \mathrm{Q}$$
3. C.$$\mathrm{P}=36 \sqrt{3} \mathrm{Q}^2$$
4. D.$$\mathrm{P}^2=6 \sqrt{3} \mathrm{Q}$$