# How to Add Polynomials to Find Perimeter

The sides of two-dimensional figures are sometimes considered polynomials. This article contains instructions for calculating the perimeter of such polygons.

## A step-by-step guide to Add Polynomials to Find Perimeter

When the sides of a polygon are given in the polynomial form, you must add the polynomials together to calculate the perimeter of these shapes. To add polynomials, find like terms and add them together.

### Adding Polynomials to Find Perimeter -Example 1

If each side of a square is $$2x+3$$, what is the perimeter of the square?

Solution:

The perimeter of the square is: Perimeter$$=4(2x+3)$$

Expand the expression and simplify: Perimeter$$=4(2x+3)=8x+12$$

### Adding Polynomials to Find Perimeter -Example 2

Find the perimeter. Simplify your answer.

Solution:

The perimeter of the shape is the sum of the sides. So,

Perimeter$$=(2x-1)+(3x)+(5x)+(4x-2)=2x-1+3x+5x+4x-2$$

Group and add like terms,

Perimeter$$=(2x+3x+5x+4x)+(-1-2)=14x-3$$

## Exercises forAdd Polynomials to Find Perimeter

1. If each side of a square is $$3x-4$$, what is the perimeter of the square?
2. What is the perimeter of a rectangle if the length is $$3x^2-5$$ and the width is $$3x+3$$?
1. $$\color{blue}{12x-16}$$
2. $$\color{blue}{6x^2+6x-4}$$

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