SOLUTION: The diagonal of a square is 8 in. Find the area and the perimeter.

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Question 779000: The diagonal of a square is 8 in. Find the area and the perimeter.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The diagonal of a square is 8 in. Find the area and the perimeter.
:
Find the dimensions first
2s^2 = 8^2
s^2 = 64/2
s^2 = 32 sq/in is the area
one side
s = sqrt%2832%29
simplify
s = 4%2Asqrt%282%29
then
s = 4*(4%2Asqrt%282%29) = 16%2Asqrt%282%29 ~ 22.627 inches is the perimeter