This perimeter of a square calculator will help you with this basic calculation. Type the side length to obtain the perimeter, or use our tool the other way round: enter the perimeter to get the side length. If you're not sure what a perimeter of a square is or you've just forgotten the formula for the perimeter of a square, keep scrolling! You may also be interested in our square calculator, which also finds the square area and diagonal.
What is the perimeter of a square - formula
The perimeter of a square is equal to the sum of all square sides. Because a square has all four sides equal in length, the perimeter is:
perimeter = a + a + a + a = 4 × a
A square is the quadrilateral of the least perimeter enclosing a given area:
16 × area = perimeter² (because area = a² and perimeter² = (4 × a)² = 16 × a²
For every other quadrilateral than square, the inequality occurs:
16 × area < perimeter²
This means that a square has a larger area than any other quadrilateral with the same perimeter.
What is the perimeter of a 4 in square?
The perimeter of such a square is calculated by adding all the sides together or multiplying the side length by 4:
perimeter = 4 in + 4 in + 4 in + 4 in = 4 × 4 in = 16 in
How to use the perimeter of a square calculator?
Let's have a look at an example. Imagine that you received a square-shaped gift from your friend, a lovely oil painting. You would like to make a frame for it. However, you have no idea how long the pine board needs to be. Yes, you guessed right, you can use the perimeter of a square calculator!
- Measure the side of the square. For example, our painting's side is 3 ft 6 in. Change the unit by simply clicking on its name and then typing the value into the box.
- The perimeter of the square appears: it's 14 ft in our case. Of course, it's only an example. In real life, you'll probably need more material depending on frame and board width and the way of joining frame corners.