Perimeter of a Square Calculator
Welcome to our Perimeter of a Square Calculator page.
We explain how to find the perimeter of a square and provide a quick calculator to work it out for you, step-by-step.
There is also a separate calculator which will find the length of the side of a square, if you already know the perimeter.
Perimeter of a Square Calculator
This calculator finds the perimeter of a square when the side length is known.
How the Calculator Works
- Choose the length of side value: you can choose a whole number, decimal or fraction.
- You can type a fraction by typing the numerator then '/' then the denominator.
- You can type a mixed number by typing the whole-number part, then a space then the fraction part.
- Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).
- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Perimeter button
- You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).
Perimeter of a Square Calculator 2
This calculator finds the side length of the square when the perimeter is known.
How the Calculator Works
- Choose the perimeter value: you can choose a whole number, decimal or fraction.
- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Side Length button
- You will be shown the side length as a decimal to the required accuracy.
Perimeter of a Square Formula
The perimeter of a shape is the distance all the way around the outside of the shape.
You can find the perimeter of any shape by adding up all of the side lengths.
The formula for the perimeter of a square is:
P = 4s
where P is the perimeter and s is the length of one of the sides.
Perimeter of a Square Examples
Perimeter of a Square Example 1
Find the perimeter of the square below.
The length of each side of the square is 13cm.
The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the length of each side.
So this means that P = 4 x 13 = 52
So the perimeter of the square is 52 cm.
Perimeter of a Square Example 2
Find the perimeter of the square below.
The length of each side of the square is 3 ¼ inches.
The perimeter of the square:
\[ P = 4 \times 3 {1 \over 4} = 4 \times {13 \over 4} = {52 \over 4} = 13 \]
So the perimeter of the square is 13 inches.
Perimeter of a Square Example 3
Find the perimeter of the square below.
The length of each side of the square is 9.3 meters.
The perimeter of the square is P = 4 x 9.3 = 37.2
So the perimeter of the square is 37.2 m.
Perimeter of a Square Example 4
Use the perimeter of the square below to find the length of each side.
The perimeter of the square is 35 cm.
The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the length of each side.
We can rearrange this equation in terms of the side length s to give us:
\[ s = P \div 4 \]
Substituting the value of P into this equation gives us:
\[ s = 35 \div 4 = {34 \over 4} = 8.75 cm \]
So the length of each side is 8.75 cm.
More Perimeter Support and Resources
We have a range of other area worksheets and support pages for a range of different 2d shapes.
These sheets involving finding both the area and perimeter of a range of rectangles.
Area Worksheets & Support
Here is our selection of free printable area worksheets for 3rd and up.
Using these sheets will help your child to:
- work out the areas of a range of rectangles;
- find the area of rectilinear shapes;
- find the areas of a right triangle and different quadrilaterals.
- use our area calculators to find the area of different shapes and show you the working out
More Area & Volume Calculators
We have a range of area and volume calculators to help you find the area and volumes of a range of different 2d and 3d shapes.
Each calculator page comes with worked examples, formulas and practice worksheets.
Looking for more math calculators?
We have a wide range of free math calculators to help you.
Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.
Our calculator hub page contains links to all of our calculators!
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How to Print or Save these sheets
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