SOLUTION: The perimeter of a square is 32 inches. Find the length of the diagonal?

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Question 31210: The perimeter of a square is 32 inches. Find the length of the diagonal?
Answer by Earlsdon(6294) About Me  (Show Source):
You can 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.
d%5E2+=+s%5E2+%2B+s%5E2
d%5E2+=+2s%5E2 But s = 8, so:
d%5E2+=+2%288%29%5E2 Take the square root of both sides of the equation.
d+=+sqrt%282%29%288%29
The length of the diagonal is:
d+=+8sqrt%282%29