What is the perimeter of a square with a apothem of 8?

The apothem of a square is the distance from the center to the midpoint of a side. For a square, the relationship between the apothem (a) and the side length (s) is given by ( a = \frac{s}{2} \times \sqrt{2} ). Given that the apothem is 8, we can calculate the side length as ( s = \frac{8 \times 2}{\sqrt{2}} = 8\sqrt{2} ). The perimeter of the square is then ( 4s = 32\sqrt{2} ).