# 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.

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**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 for** **Add Polynomials to Find Perimeter**

- If each side of a square is \(3x-4\), what is the perimeter of the square?
- What is the perimeter of a rectangle if the length is \(3x^2-5\) and the width is \(3x+3\)?

- \(\color{blue}{12x-16}\)
- \(\color{blue}{6x^2+6x-4}\)

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