Adog trainer has 104 ft of fencing that will be use to create a rectangular work area for dogs. if the trainer wants to enclose an area of 576 ft sq, what will be the dimensions of the work area.

The dimensions of the work area are 16 ft by 36 ft

Step-by-step explanation:

Let

x ----> the length of the work area in feet

y-----> the width of the work area in feet

we know that

The perimeter of the work area is equal to

simplify

----> equation A

The area of the work area is equal to

---> equation B

substitute equation A in equation B

solve the quadratic equation by graphing

using a graphing tool

The solutions are

x=16 ft, y=36 ft

or

x=36 ft, y=16 ft

see the attached figure

therefore

The dimensions of the work area are 16 ft by 36 ft