SOLUTION: The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.?

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Question 958042: The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4S=56
S=14
So then using the Pythagorean theorem,
S%5E2%2BS%5E2=D%5E2
2S%5E2=D%5E2
D=sqrt%282%29S
D=14sqrt%282%29