Question
Asked Dec 22, 2019
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Farmer Ed has 2,500 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,
what is the largest area that can be
х
enclosed?
2,500 – 2x
The largest area that can be enclosed is
square meters.
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Farmer Ed has 2,500 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, what is the largest area that can be х enclosed? 2,500 – 2x The largest area that can be enclosed is square meters.

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Expert Answer

Step 1

Given that the farmer can fence 2,500 meters.

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Now perimeter of the rectangle = sum of the sides = x +x +(2,500 –- 2x) = 2,500 meter

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Step 2

The farmer has to fence the largest area, which is given below.

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Area (A) = length×breadth = xx(2,500– 2x) = 2,500x – 2x?

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Step 3

Now for the maxi...

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dA 0 = dx Hence dA = 0 dx 2,500 – 4x = 0 x = 625

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