an area ... 320 square feet
the width ... w = 4/5 l
the length ... l
If you would like to know what are the length and the width of the room, you can calculate this using the following steps:
320 = w l
320 = 4/5 l l
320 = 4/5 l^2 /5/4
l^2 = 320 5 / 4
l^2 = 400
l = 20 feet
w = 4/5 l = 4/5 * 20 feet = 16 feet
Result: The length is 20 feet and the width of the room is 16 feet.