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

Question

lubasha [3.4K]

3 years ago

9

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.

Mathematics

1 answer:

DiKsa [7] · Answer 1 · 2022-01-23T16:14:29+03:00

Answer:

$A = 2200x - 2x^2$

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

$A = xy = x(2200 - 2x) = 2200x - 2x^2$

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

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