>>12283795first square is x^2.
the amount added by next step is (4/9)x^2
then (20/81)x^2
and so on,
the general form for area added by nth step, starting with the second step is
((4*(5^(n-1)))/(9^n))x^2
so you want the sum of that as n goes to infinity if it converges. then still need to add the original x^2 at the end.
according to wolfram it's 1, so the final answer is 2x^2, twice the original square.
