SOLUTION: I have a fence wire 100M long nad wish to fence a rectangular piece of land on three sided ONLY. What is the maximum area I can fence and also the length and width. Please confirm

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Question 107677: I have a fence wire 100M long nad wish to fence a rectangular piece of land on three sided ONLY. What is the maximum area I can fence and also the length and width. Please confirm the solution is correct. Thank you.
Lenght =x
Width = y
x+2y=100
x= 100-2y
Area = xy = (100-2y)y
-2y^2+100y
Completing squares
-2(y-25)^2-(25x25)
This is the vertex form and gives us the x intercept.
That is the width is 25 and hence length is 50
Area is 1250
Is the answer correct.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, it is correct.
Cheers,
Stan H.