a square has a diagonal that is equal to 25cm with this information identify: the perimeter of the square

1. Use the Pythagorean theorem to find the side length (a) of the square:
a^2 + a^2 = 25^2
2a^2 = 625
a^2 = 312.5
a = \sqrt{312.5}
a \approx 17.68 \text{ cm}

2. Calculate the perimeter of the square:
P = 4a
P = 4 \cdot 17.68
P \approx 70.72 \text{ cm}

Thus, the perimeter of the square is approximately:
70.72 \text{ cm}