SOLUTION: what is the perimeter of a square if the length of the diagonal = 5?

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Question 102235: what is the perimeter of a square if the length of the diagonal = 5?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the perimeter of a square if the length of the diagonal = 5?
Draw a square; draw a diagonal; label the sides as "x"; label the
diagonal as 5.
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Use Pythagoras to get:
x^2 + x^2 = 5^2
2x^2 = 25
x = 5/sqrt2 or [5sqrt5]/2 or (5/2)sqrt5
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Perimeter = 4*side
Perimeter = 4*(5/2)sqrt5
Perimeter = 10sqrt5
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Cheers,
Stan H.