A rancher has 4,200 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.

The center portion's length will be "700 ft".

Step-by-step explanation:

Let the center will be "x".

Given that, Length = 4200 feet

Now, Length

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As we know,

Area,

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So that the length or center portion or the area will be greater or maximum when:

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-18

step-by-step explanation:

because mean value defines that total sum value over total number of set