Perimeter of a Square Calculator
Need to find the perimeter of a square? Our free Perimeter of a Square Calculator makes it quick and easy! Simply enter the side length, or diagonal length, and get your result instantly.
Enter only one input. Side (a) or Diagonal (d)
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About Perimeter of a Square
Here we understand the perimeter of a square. First of all, we write formula number 1 here. Perimeter of a square = 4 × (A). Let us write formula number 2. Perimeter of a square = A + B + C + D. What is the meaning of this? The sides of a square are equal. Here, the length of the four sides is 6 cm. This 6 cm will be considered as A. Suppose we consider A or x. We have considered the four sides as A. A is 6 cm. Formula: 1, here we get the perimeter of a square = 4 × (6), here A is 6. 4 × 6 = 24 cm. Here, the perimeter of the square will be 24 cm.
Formula number 2: Perimeter of a square = A + B + C + D Here, we understand the four sides of a square as side A, side B, side C, and side D. We know that A = 6 cm. Since this is a square, here, sides A, B, C, and D are equal, so the length of all sides is 6 cm. Now we have to add A, B, C, and D. Here, A = 6 + B = 6 + C = 6 and A + D = 6. Perimeter of a square = 6 + 6 + 6 + 6 = 24. The perimeter of a square will be 24 cm.
Perimeter of a Square Calculation Formula
Here, we will learn to calculate the perimeter of a square. Calculating the perimeter of a square will require a formula. And we have given below the formula to calculate the perimeter of a square. The formula for finding the perimeter (P) of a square is given by:
P = 4s and P = 4a
a = side length
q = diagonal length
P = perimeter
Perimeter of a Square Calculation Example
To calculate the perimeter of a square, we only need to measure one side. We will now use the above formula to calculate the perimeter of a square.
Here "s" is the length of one side of the square.
If the length of one side (s) is given as 100 cm, you can substitute this value into the formula:
P = 4 × 100
Now, calculate the perimeter:
P = 400 cm
So, the perimeter of a square with a side length of 100 cm is 400 cm.
Square Formulas and Calculation Examples
1. Area of a Square Formula:
A = s2
Where:
A = Area
s = Side length
Example:If a square has a side length of 5 cm, its area is:
A = 52 = 25 cm2
2. Perimeter of a SquareFormula:
P = 4s
Where:
P = Perimeter
s = Side length
Example:If a square has a side length of 6 m, its perimeter is:
P = 4 × 6 = 24 m
3. Polygon Diagonals of a Square Formula:
d = s√2
Where:
d = Diagonal length
s = Side length
Example: If a square has a side length of 4 in, its diagonal is:
d = 4√2 = 5.656 in
4. Side of a Square (Given Area or Perimeter) From Area:
s = √A
From Perimeter:
| S = |
|
Example (Given Area = 36 cm²):
s = √36 = 6 cm
Example (Given Perimeter = 20 ft):
| S = |
| = 5 ft |