## Algebra 2 Common Core

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.