Theory:

Now, we shall find the perimeter of a square.
 
sqare-w200.png
 
Let \(ABCD\) be a square with sides of length \(a\) \(units\).
 
Then, the perimeter of the square \(ABCD\) is given by:
Perimeter of the square \(=\) Sum of the measures of all four sides
Perimeter, \(P =AB+BC+CD+DA\) \(units\)

\(P=a+a+a+a\) \(units\)

\(P=4a\) \(units\)

Thus, the perimeter of the square is \(4a\) \(units\).
Example:
1. Let the side of a square be \(8 \ cm\). Find the perimeter of the square.
 
Solution:
 
Side of a square, \(a=8 \ cm\).
 
Perimeter of the square \(=\) Sum of the measures of all four sides
 
Substituting the values in the formula, we have:
 
Perimeter, \(P=4a\)
 
\(P=4\times 8 \ cm\)
 
\(P=32 \ cm\)
 
Thus, the perimeter of the square is \(32 \ cm\).