# Anna knows that the perimeter of her backyard is 6x^2+ 14x feet. If the length of her backyard is 2x^2+3x- 7 feet then what is the width of her backyard?

Dec 20, 2016

${x}^{2} + 4 x + 7$, units of length.

#### Explanation:

Assuming that the backyard is rectangular. with length l and width w,

the perimeter is

$2 l + 2 w = 2 \left(2 {x}^{2} + 3 x - 7\right) + 2 b = 6 {x}^{2} + 14 x$, So,

$2 w = 2 {x}^{2} + 8 x + 14$. And so,

$w = {x}^{2} + 4 x + 7$ unilt of length.