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?

Assuming the shape of the room is a rectangle :

Area = Width x Length.

Let's call width "w" and length "l" . Now if, the width is 4/5 of the length that means 4/5 times length gives us the width, like this :



As given in the question, area of the rectangle is 320 square feet. And as I said before area of a rectangle can be found by multiplying its length and width. 



, we can plug w's value in the previous equation to find "l". 



Let's plug "l"s value in the equation.



The length is 20 feet and the width is 16 feet.

Area equals to length times width
The length is 20 and the width is 16