Answer
Length: 10
Width: 6
Work Step by Step
We can represent the length as $5x$ and the width as $3x$.
The formula for the perimeter of a rectangle is $2l+2w$.
So, if the length is $5x$ and the width is $3x$, the equation will be $2(5x)+2(3x)=32$, which is
$10x+6x=32$
$16x=32$.
So $x=2$.
The length is 5x, and because $x=2$, the length is 10.
The width is 3x, and because $x=2$, the width is 6.