Which formula represents the area of a square?

The formula that represents the area of a square is defined as the length of one side of the square multiplied by itself. Since all four sides of a square are equal in length, if we denote the length of a side as "s," the area is calculated using the formula ( s \times s ), which simplifies to ( s^2 ). This reflects the total surface area enclosed within the boundaries of the square.

Other formulations do not apply to calculating the area of a square. For instance, the formula that shows the perimeter of a square, represented as ( 4s ), describes the total length around the square, not the area. The formula ( 2l + 2w ) is used for the perimeter of a rectangle, while ( lw ) is used to calculate the area of a rectangle where "l" is the length and "w" is the width. These distinctions underline why ( s^2 ) accurately and specifically denotes the area of a square.