SOLUTION: 'the area of a square garden is 128 meters squared. hoe long is its diagonal?' can you please tell me the process to get to the answer? and the correct answer i should get? than

Algebra ->  Rectangles -> SOLUTION: 'the area of a square garden is 128 meters squared. hoe long is its diagonal?' can you please tell me the process to get to the answer? and the correct answer i should get? than      Log On


   

Question 257512: 'the area of a square garden is 128 meters squared. hoe long is its diagonal?'
can you please tell me the process to get to the answer? and the correct answer i should get? thank you.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
This will take a few steps to solve.
Let's first set up an equation to show an area of a square (we'll let x represent the side):
x*x=128 rewritten as:
x^2=128 Square root both sides will give us:
x=11.31 meters This is the length of each side of the square (rounded off).
Now we'll use this formula A^2+B^2=C^2 to solve the diagonal:
A & B represents the sides and C is the diagonal.
11.31^2 + 11.31^2 = c^2 Calculate the left hand sign (rounded off to 128:
128 + 128 = C^2 or
256 = C^2 Now square root each side to give us:
C=16
There we go the diagonal is 16 meters long.
Make sense?
RJ
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