# The plans for a shed call for a rectangular floor with a perimeter of 344 ft. The length is three times the width. What is the length and width?

Dec 31, 2016

$\text{Width"=43" feet}$
$\text{Length"=129" feet}$

#### Explanation:

$\text{Let "l="length and let "w="width}$
$\text{Perimeter} = 2 l + 2 w$

$344 = 2 l + 2 w$

$l = 3 w$

$344 = 2 \left(3 w\right) + 2 w$
$344 = 6 w + 2 w$
$8 w = 344$
$w = 43$

$l = 3 \left(43\right)$
$l = 129$