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 the sum of areas of all the triangles formed in this process, then: (1) $\mathrm { P } ^ { 2 } = 6 \sqrt { 3 } \mathrm { Q }$ (2) $\mathrm { P } ^ { 2 } = 36 \sqrt { 3 } \mathrm { Q }$ (3) $P = 36 \sqrt { 3 } Q ^ { 2 }$ (4) $\mathrm { P } ^ { 2 } = 72 \sqrt { 3 } \mathrm { Q }$
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 the sum of areas of all the triangles formed in this process, then:\\
(1) $\mathrm { P } ^ { 2 } = 6 \sqrt { 3 } \mathrm { Q }$\\
(2) $\mathrm { P } ^ { 2 } = 36 \sqrt { 3 } \mathrm { Q }$\\
(3) $P = 36 \sqrt { 3 } Q ^ { 2 }$\\
(4) $\mathrm { P } ^ { 2 } = 72 \sqrt { 3 } \mathrm { Q }$