Farmer Ed has 450 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? he width, labeled x in the figure, is Type an integer or decimal.) meters
To find: The length, width and the area of rectangular plot.
1 River
Maximizing the area, A.
Area of rectangular plot, A = length*width.
Calculate the fencing for 3 sides,
l2w 450 1-450-2w
Substitute l in the...
A(450-2w)xw A =450w-2w2
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