Answer: 80 feet.
Step-by-step explanation:
You can calculate the width using two equations and solving for the side lengths.
[tex]L * W = 8000[/tex]
[tex]L = 20 + W[/tex]
You can then substitute the L in the first equation for the L in the second equation:
[tex](20+W)*W = 8000[/tex]
[tex]W^2 + 20W - 8000 = 0[/tex]
Now, you can factor this equation to solve it:
[tex](W + 100)(W-80) = 0[/tex]
Your solutions for W are -100 and 80. Considering the width of a rectangle cannot be negative, the only possible solution is 80 feet, which makes your length 100 feet.
