The width of the morros in shannon's bathroom is 4/9 its length. The area of the mirror is 576 square inches. What are the dimensions of the mirror?

W=4L/9

A=LW, using W found above gives us

A=L (4L/9)

A=4L^2/9 and we were told that A=576 so

4L^2/9=576 multiply both sides by 9

4L^2=5184 divide both sides by 4

L^2=1296 take the square root of both sides

L=36, and we know that W=4L/9 so

W=4 (36/9) = 16

So the dimensions are: width=16in and length=36in