# What is the perimeter of the triangle expressed as a polynomial if the sides are 4x+1, x-7, 6x+2?

Nov 8, 2016

$\text{perimeter} = 11 x - 4$

#### Explanation:

The perimeter of the triangle is the $\textcolor{b l u e}{\text{ sum of the 3 sides}}$

$\Rightarrow \text{ perimeter} = \left(4 x + 1\right) + \left(x - 7\right) + \left(6 x + 2\right)$

collect like terms.

$= \left(4 x + x + 6 x\right) + \left(1 - 7 + 2\right)$

$\Rightarrow \text{perimeter} = 11 x - 4$