Mathematics
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
A
\(P^{2} = 6\sqrt{3}Q\)
B
\(P^{2} = 72\sqrt{3}Q\)
C
\(P^{2} = 36\sqrt{3}Q\)
D
\(P = 36\sqrt{3}Q^{2}\)
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