# A rectangle had a perimeter of 48 inches. The length is 4 inches longer than the width. What's the width?

Jun 22, 2018

Width = 10 inches.

#### Explanation:

${P}_{\text{rectangle}} = 2 l + 2 w$

$l = w + 4$

$P = 48$

Substute into formula:

$48 = 2 \left(w + 4\right) + 2 w$

$48 = 2 w + 8 + 2 w$

$48 = 4 w + 8$

$40 = 4 w$

$w = 10$