Question

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 the length and width of the room?

Please explain how to get the answer too.

Answer 1

Area = length x width
Let x = length
Let (4/5)(x) = width

Area = (x)(4/5)(x)
320 = (4/5)x^2
multiply both sides by (5/4) to get:
x^2 = 400
take the square root of both sides to get:
x = 200 ft.

length = 200ft and width = 160ft