For a square with apothem of length a, the perimeter equals 4a.

Name: For a square with apothem of length a, the perimeter equals 4a.
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The apothem of a square is the line segment from the center of the square to the midpoint of one of its sides. The perimeter of a square is calculated as 4 times the length of one side. However, the apothem (a) relates to the side length (s) of the square by the equation $a = \frac{s}{\sqrt{2}}$. Therefore, the perimeter is not equal to 4a but rather $4a\sqrt{2}$.

For a Square with Apothem of Length A, the Perimeter