# The length of a rectangle is x+2 and the width is x-6. What is the perimeter of this rectangle?

Jul 1, 2018

Perimeter color(maroon)(p = 4 * (x - 2)

#### Explanation:

Perimeter of a rectangle $p = 2 \cdot \left(l + w\right)$

Given $l = x + 2 , w = - 6$

$p = 2 \cdot \left(x + 2 + x - 6\right)$

Perimeter $p = 4 \cdot \left(x - 2\right)$

Jul 1, 2018

$4 x - 8$

#### Explanation:

Perimeter of a rectangle is given by the equation:

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

where:

• $l$ is the length of the rectangle

• $w$ is the width of the rectangle

So, we get:

$P = 2 \left(x + 2 + x - 6\right)$

$= 2 \left(2 x - 4\right)$

$= 4 x - 8$