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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the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: