Question

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?

Answer 1

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