1. The problem states that we have a square with side length $s$ and asks for two algebraic expressions using different operations to represent the perimeter of the square. 2. The perimeter $P$ of a square is the total length around the figure, which is the sum of all four sides. Since each side is $s$, the perimeter is: $$P = s + s + s + s$$ 3. Using multiplication, since there are 4 equal sides, the perimeter can also be expressed as: $$P = 4s$$ 4. Let's check the options given: - A. $3s$ (This represents three sides, not the full perimeter.) - B. $s + s + s + s + s$ (This is five sides, which is incorrect.) - C. $5s$ (Again, five sides, incorrect.) - D. $4s$ (Correct, multiplication expression for perimeter.) - E. $s + s + s$ (Three sides, incorrect.) - F. $s + s + s + s$ (Correct, addition expression for perimeter.) 5. Therefore, the two correct expressions representing the perimeter of the square are: $$s + s + s + s$$ and $$4s$$ These use different operations (addition and multiplication) as requested. Final answer: The perimeter of the square is represented by $s + s + s + s$ and $4s$.