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Rule

Area of a Square

The area of a square equals its side length squared. That is, if the side length is , then the area is
square of side s

Proof

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 it is possible to divide it unit squares.

square of side s divided in unit squares

Since the original square has side length there are exactly unit squares in each row and there are rows of unit squares. Therefore, the total number of unit squares is Hence, the area of a square of side length is or This result is still valid if was any real number.