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 theside 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, isType an integer or decimal.)meters

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Asked Nov 5, 2019
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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
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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

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Expert Answer

Step 1

To find: The length, width and the area of rectangular plot.

1
River
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1 River

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Step 2

Maximizing the area, A.

Area of rectangular plot, A = length*width.

Calculate the fencing for 3 sides,

l2w 450
1-450-2w
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l2w 450 1-450-2w

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Step 3

Substitute l in the...

A(450-2w)xw
A =450w-2w2
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A(450-2w)xw A =450w-2w2

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