Question 823930: Alex has 1400 ft of irrigation pipping. He wants to use it to irrigate his back lawn. He wants to lay the pipping in such a manner as to cut off 3 equal size rectangle regions in the yard. What are the dimensions that would produce the maximum enclosed area.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
2x + 2y = 1400
y = (1400 - 2x)/2
y = 700 - x
a = xy
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a = xy
a = x(700 - x)
a = 700x - xx
a = -xx + 700x
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the above quadratic equation is in standard form, with a=-1, b=700, and c=0
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-1 700 0
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the quadratic vertex is a maximum at: ( x=350, a= 122500 )
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answer:
length = 350 ft
width = 350 ft
maximum area = 122500 sq.ft
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