What geometric figure has a perimeter calculated as 4S?

The perimeter of a square is calculated by adding the lengths of all four sides together. In the case of a square, all sides are equal in length, represented by the variable S. Therefore, the perimeter can be expressed mathematically as 4S, since you add S + S + S + S, which simplifies to 4S.

Understanding the relationship between a square's sides and its perimeter is crucial in geometry. The other geometric figures, such as rectangles, triangles, and circles, have different formulas for calculating their perimeters that will not yield the simplification of 4S in the same manner. For instance, a rectangle has a perimeter calculated as 2(length + width), a triangle's perimeter is the sum of its three sides, and a circle's circumference is determined by the formula 2πr, where r is the radius. Each of these calculations differs fundamentally from that of a square. Thus, the choice indicating a perimeter of 4S corresponds uniquely to the geometric figure of a square.