Afarmer wants to build a rectangular pen with 80 feet of fencing. the pen will be built against the wall of the barn, so one side of the rectangle won’t need a fence. what dimensions will maximize the area of the pen?

20 ft out from the wall by 40 ft parallel to the wall

Step-by-step explanation:

Let x represent the length of fence in the direction parallel to the wall. Then the other dimension of the rectangular pen is (80 -x)/2. The area is the product of these dimensions:

area = x(80 -x)/2

This function describes a downward-opening parabola with zeros at x=0 and x=80. The vertex (maximum) is halfway between the zeros, at x=40.

The dimensions are 40 ft parallel to the wall and 20 ft out from the wall.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic