# Dusty planted a rectangular garden that had a perimeter of 36 yards. The length of the garden is 6 feet longer than twice the width. What is the length of the garden in feet?

Jul 2, 2018

$w = 4$ ft and $l = 14$ ft

#### Explanation:

Perimeter (P) is the sum of 2 lengths and 2 widths.

$36 = \left[2 \times \left(2 w + 6\right)\right] + 2 w$

w stands for the width.

$36 = 4 w + 12 + 2 w$

$36 - 12 = 6 w$

$24 = 6 w$

$4 = w$

Width is 4 feet.

The length is:

$l = \left(2 w + 6\right)$

$l = \left(2 \times 4\right) + 6$

$l = 14$ feet.