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Consider a square of unit side length. In this case, by the definition of area, its surface would be a squared unit. Now, for a square of integer side length s, it is possible to divide it unit squares.
Since the original square has side length s, there are exactly s unit squares in each row and there are s rows of unit squares. Therefore, the total number of unit squares is s⋅s=s2. Hence, the area of a square of side length s is A=s⋅s or A=s2. This result is still valid if s was any real number.