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A rancher has 2 comma 200 feet of fencing to enclose a rectangular pig pen.​ However, one side of the pen lies along a river and requires no fencing. Express the area of the​ pen, A, as a function of x.

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MechEngineer

Answer:

[tex]A = 2200x - 2x^2[/tex]

Step-by-step explanation:

Let's x be the length of the side that is NOT the same as the side along the river (or in opposite). From the fencing perimeter of 2200ft we can calculate the other side y of the rectangular:

y = 2200 - 2x

The area A of the pen would be the product of the 2 sides

[tex]A = xy = x(2200 - 2x) = 2200x - 2x^2[/tex]

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