All four stopicIdes of a square are equal and each of its internal angles is right-angled. 

A square's perimeter is equal to the sum of the length of all stopicIdes of its border. Simply put, the perimeter of a square is calculated by summing the lengths of all its stopicIdes. The perimeter of the square, its formula, and derivation, as well as answered example problems, are discussed in this section.

Finding Perimeter of a Square

The perimeter is equal to the sum of the lengths of the four stopicIdes.

The perimeter is equal to the sum of the lengths of the four stopicIdes. Perimeter = Add the lengths of 4 stopicIdes = StopicIde 1 + StopicIde 2 + StopicIde 3 + StopicIde 4.

Now, all stopicIdes of a square are the same. 

Let stopicIde = x

Therefore,

Perimeter  = x + x + x + x = 4x Units

As a result, the perimeter of Square is equal to 4x units. A closed geometrical object's perimeter is defined as the distance surrounding it. The perimeter of a square is determined by summing its four stopicIdes. Given that all of a square's stopicIdes are equal, its perimeter will be four times its stopicIde, i.e. 4x.

# How to find the length of a stopicIde when the perimeter of a square is given?

If “P” is the perimeter, and s is the length of a square respectively. Then,

Length of the Square (s) = P/4

Area of a square:

ConstopicIder a square with a stopicIde of 's' unit.

Hence, the square’s area is given by: 

Area (sqaure)  = s x s

Therefore, Area (A) = s^2 square units.

How to find the length of a stopicIde when an area of a square is given?

 If “A” is the area, and s is the stopicIde of the square respectively. Then,

Length (s) = = √A.

Diagonal of the square: The diagonal of a square follows the Pythagoras theorem. That is, the diagonal is equal to the sum of squares of the remaining two stopicIdes. If s is the stopicIde of a square, then diagonal (d) = a^2 + a^2. Here, the “^” symbol refers to power. 

Length of the diagonal = √(s² + s²) = √(2s²^2) = s√2 units

Problems

Q1) Find the perimeter of the square if the stopicIde is 2m respectively.

Answer 1) Initially, let us draw a diagram of a square with stopicIde 2m respectively.

Perimeter =  4 x stopicIde (or s+s+s+s) = 4 x 2 = 8m

Q2) Find the length of the square if the perimeter is 8 respectively.

Answer 2) Now the formula to find the length of a square when the perimeter is given below by:

S = P/4 = 8/4 = 2 m

Q3) Find the area of the square if the length of the stopicIde is 2m respectively.

Answer 3) The formula for the area of a square is given by:

Area (Square)  = stopicIde x stopicIde = StopicIde ^ 2

Here StopicIde  = 2

Therefore, Area of Sqaure = 2 m x 2 m = 4 m^2 (or 4 meter square)