SOLUTION: how long is the diagonal of a square garden that has the are of 50 meters squared?

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Question 259712: how long is the diagonal of a square garden that has the are of 50 meters squared?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square is
A=s%5E2=50
s=sqrt%2850%29
The diagonal of a square is
s%5E2%2Bs%5E2=D%5E2%0D%0A%7B%7B%7B2s%5E2=D%5E2
D=sqrt%282%29%2As
D=sqrt%282%29%2Asqrt%2850%29
D=sqrt%28100%29
D=10
The diagonal is 10m long.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how long is the diagonal of a square garden that has the area of 50 meters squared?
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Since the garden has a square shape the sides are each 50 meters long.
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Use Pythagoras to find the diagonal:
d^2 = 50^2+50^2
d^2 = 2*50^2
d = sqrt[2*50^2]
d = 50*sqrt(2)
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Cheers,
Stan H.