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This is kind of like a word problem, I need to find the maximum amount of area for back yard, which has a rectangular outline (fence) except it only has 3 sides (i.e. 4th side is the house)

The question tells me to complete the square to find the maximum amount of area
x is the longer side
and y is the shorter (there are 2 ys)
I'm not sure which equation you would use when completing the square and how the equation shows u the maximum area =\
I know the answer, I just need to know how to get it
x = 50
y = 25

2007-08-07 13:57:02 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

You have not supplied sufficient info. I can deduce from your answer that the length of the fence must be 100.

So, let x = the width
then 100-2x = length
So area = x(100-2x) =100x-2x^2
Since the x^2 term is negative, we know the function has a maximum value. The axis of symmetry is x = -b/2a = -100/(-4) = 25. So max occurs when x = 25. 100 -2x = 50.
There was no need to complete the square.

2007-08-07 14:26:09 · answer #1 · answered by ironduke8159 7 · 0 0

ok well first you said it was a rectangle!! then its a square?? the area.......does the numbers add up to give the sides?? or what cause the other side would be 50 right?? and the area would be 1250 right.......well I would say write the question or problem as it shows so I can help you and tell you the equation ok!

2007-08-07 21:21:46 · answer #2 · answered by jamaican_cutie1 2 · 0 0

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