Answer:
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
