Theory:

Now, we shall find the area of a square.
 
sqare.svg
 
Let us consider a square \(ABCD\) with sides of length \(a\) units.
 
Since the length and breadth of the square are equal. Then, the area of the square \(ABCD\) is given by:
Area of the square \(=\) Product of side and side
\(A=a \times a\) \(sq. \ units\)
 
Therefore, the area of the square is \(a \times a \ sq. units\).
Example:
1. Let the side of a square be \(8 \ cm\). Find the area of the square.
 
Solution:
 
Side of a square, \(a=8 \ cm\).
 
Area of the square \(=\) Product of side and side
 
Area, \(A=a \times a \ sq. units\)
 
Substituting the known values in the formula, we have:
 
\(A=8 \times 8 \ sq. cm\)
 
\(A=64 \ sq. cm\)
 
Thus, the area of the square is \(64\) \(sq. \ cm\).