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A rancher has 450 feet of fencing to enclose three sides of a rectangular pen.?
Cont...A barn will be on the fourth side of the pen. What dimensions of the pen would enclose the maximum area? What is the maximum area?
A = LW
fence length = 2L+W = 450
to maximize or minimize area you have to diffeentiate and set equal to zero
But first you have to eliminate a variable
2L+W = 450
W = 450–2L
A = L(450–2L) = 450L – 2L²
A' = 450 – 4L = 0
L = 112.5
W = 225
A = 25312.5
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