Level:
Project ID:
9000062909
Accepted:
1
Clonable:
0
Easy:
0
Consider the square of the side \(4\, \mathrm{cm}\).
The second square is inscribed into this first square by joining the centers of all sides.
In a similar way, the third square is inscribed into the second square by joining the
centers of the sides of the second square and this process continues up to infinity.
Find the sum of the perimeters of all squares.
\(32 + 16\sqrt{2}\)
\(32 - 16\sqrt{2}\)
\(32\)
\(\infty \)