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Now, we shall find the area of a square.
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:
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 \(64\) \(sq. \ cm\).