Rewrite without parenthesis and simplify (y+6)^2

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