1. **Problem Statement:** We are given a square with side length expressed as $4x + 3$. We want to understand properties related to this square, such as its perimeter and area. 2. **Formulas:** - Perimeter of a square: $$P = 4 \times \text{side}$$ - Area of a square: $$A = \text{side}^2$$ 3. **Calculate the Perimeter:** Using the side length $4x + 3$, the perimeter is: $$P = 4(4x + 3) = 16x + 12$$ 4. **Calculate the Area:** The area is the square of the side length: $$A = (4x + 3)^2 = (4x)^2 + 2 \times 4x \times 3 + 3^2 = 16x^2 + 24x + 9$$ 5. **Explanation:** - The perimeter formula multiplies the side length by 4 because a square has four equal sides. - The area formula uses the binomial expansion to square the expression $4x + 3$. **Final answers:** - Perimeter: $$16x + 12$$ - Area: $$16x^2 + 24x + 9$$