# Recursion squares

In the square ABCD is inscribed a square so that its vertices lie at the centers of the sides of the square ABCD.The procedure of inscribing square is repeated this way. Side length of square ABCD is a = 31 cm.

Calculate:
a) the sum of perimeters of all squares
b) the sum of area of all squares

Result

Σ p =  423.36 cm
Σ S =  1922 cm2

#### Solution:

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