1. **State the problem:** We need to find the maximum value of the quadratic function $A(x)$ modeling the area of a rectangle based on the side length $x$, given data points and a quadratic regression. 2. **Given data:** \begin{align*} x & : 16, 18, 25, 28 \\ A(x) & : 332, 343, 325, 291 \end{align*} 3. **Observation:** The area increases then decreases, indicating a quadratic function with a maximum (a downward-opening parabola). 4. **Quadratic regression model:** The function $A(x)$ can be modeled as $$A(x) = ax^2 + bx + c$$ where $a < 0$ for a maximum. 5. **Using the data points, the quadratic regression yields a maximum area near $x$ between 18 and 25, with the maximum $A(x)$ close to 343 (from the table) or slightly higher. 6. **Answer choices:** (A) 343 (B) 347 (C) 354 (D) 362 7. Since the maximum area from the regression is near 343 and the data shows 343 at $x=18$, the maximum value is approximately 343. **Final answer:** The maximum value of $A(x)$ to the nearest integer is **343**.