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put this solution on YOUR website!First find the length of one side (s) of the square.
The perimeter of a square is 4s and this = 32
So, s = 32/4 = 8
Now you can use the pythagorean theorem to find the length of the diagonal (d).
The diagonal (d) is the hypotenuse of the right triangle whose other two sides are s and s.

But s = 8, so:

Take the square root of both sides of the equation.
The length of the diagonal is: