Gabriella wants to tile room with an area 320 square feet. the width of the room is 4/5 it's length. what are the length and the width of the room?

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.