# What is the perimeter of the rectangle with length 5a+7b and width 3a+5b?

Jan 4, 2017

Perimeter of a rectangle is$= 16 a + 24 b$

#### Explanation:

Length of the rectangle $= 5 a + 7 b$
Width of the rectangle $= 3 a + 5 b$

Perimeter of a rectangle is $= 2 \left(l + b\right)$

$= 2 \left[\left(5 a + 7 b\right) + \left(3 a + 5 b\right)\right]$

$= 2 \left[5 a + 7 b + 3 a + 5 b\right]$

$= 2 \left[8 a + 12 b\right]$

$= 16 a + 24 b$