SOLUTION: The perimeter of a square is 40 cm. what is the length of the diagonal in simplest radical form.

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Question 255323: The perimeter of a square is 40 cm. what is the length of the diagonal in simplest radical form.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The perimeter of a square is 40 cm.
what is the length of the diagonal in simplest radical form.
:
Sides of the square (a * b) = 10 cm
c^2 = a^2 + b^2
Diagonal (c)
c = Sqrt%2810%5E2+%2B+10%5E2%29
:
c = Sqrt%28200%29
:
Factor to reveal perfect square
c = Sqrt%28100%2A2%29
:
Extract the square
c = 10%2ASqrt%282%29; is the diagonal