Question 821959: You have 108 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
2x + y = 108
y = -2x + 108
a = xy
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a = xy
a(x) = x(-2x + 108)
a(x) = -2xx + 108x
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the above quadratic equation is in standard form, with a=-2, b=108, and c=0
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-2 108 0
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the quadratic vertex is a maximum at: ( x= 27, a(x)= 1458 )
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x= width = 27 ft
y= length = 54 ft
maximum area = 1458 sq.ft
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