SOLUTION: Find the length of a diagonal of a square enclosure with a perimeter of 16 ft

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Question 828790: Find the length of a diagonal of a square enclosure with a perimeter of 16 ft
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
P = 4s

16 = 4s

16/4 = s

4 = s

s = 4

Side length is 4 ft

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c^2 = 32

c = sqrt(32)

c = sqrt(16*2)

c = sqrt(16)*sqrt(2)

c = 4*sqrt(2)

The diagonal is exactly units long.
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