Question

A rancher with 1000 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle as indicated below. If x represents the length of the common fence, find a function that models the total area of the three pens in terms of x. (Your answer will be a function or expression.)

Answer 1

We are given

x represents the length of the common fence

Let's assume

width of rectangle =y

fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle

so, we can set up fencing equation as

now, we can solve for y

now, we can find area of all three pens

we can plug back y

...........Answer