Pressure (P) varies inversely with area (A), expressed by the formula P = k/A, where k is a constant of proportionality. To find k, substitute the given values of area and pressure, specifically (A, P) = (40, 4), into the equation. Solving for k yields a value that aligns with the relationship described. This approach illustrates how inverse variation can be applied to real-world problems involving pressure and area. Understanding this concept is crucial for solving similar mathematical problems effectively.