Final answer:
The correct expression for the area of a square with side length 's' is s × s or s², represented by option (a). This formula is dimensionally consistent, as the area of a square is the length of a side squared, reflecting the units of length squared (L²).
Step-by-step explanation:
The expression for the area of a square with side length 's' is represented by the formula s × s, which can also be written as s². This is because the area of a square is calculated by multiplying the length of one side by itself. Option (a) 's × s' accurately reflects this calculation. None of the other options provided (b, c, or d) represent an area formula; they represent other operations such as addition, subtraction, and division, which do not yield the area of a square.
To further clarify, dimensions play a key role in determining the correct formula for the area. The dimension of area is length squared (L²), which reinforces the notion that the formula must involve squaring the side length of the square. Consequently, the equation for the area of a square must have the square of a length, making option (a) the correct choice for a formula that is dimensionally consistent with the concept of area.