Gabriella wants to tile a room with an area of 320 square feet. The width of the room is 4/5 its length. What are tge length and width of the room?

Area = length x width

But width = 4/5 x length

so 320 = length x 4/5length

Rearranged, 320 = 4/5 (length) (length)

length x length = length^2

Divide both sides by 4/5

400 = (length) ^2

Square root both sides

20 = length

So now you know the length, you can calculate the width.

Width = 4/5 x length

= 4/5 x 20

= 16

Length = 20ft, Width = 16ft