2. Model with Math A manager needs to rope off a rectangular section for a private party. The length of the section must be 7.6 meters The manager can use no more than 28 meters of rope. What inequality could you use to find the possible width, \( w \), of the roped-off section?

To find the possible width \( w \) of the rectangular section, you can start with the formula for the perimeter of a rectangle. The perimeter \( P \) is given by \( P = 2 \times \text{(length + width)} \). Since the length is fixed at 7.6 meters and the total perimeter cannot exceed 28 meters, you can set up the inequality: \[ 2(7.6 + w) \leq 28. \] This simplifies to \( 7.6 + w \leq 14 \), which can be further reduced to \( w \leq 6.4 \). With this inequality, you can determine the maximum width that can be used for the roped-off area. Now, the manager should remember that they can't just whip out the rope and start wrapping it around! Since the rope is limited, they must ensure they have enough length to cover both sides of the width, plus the given length, while keeping everything neat and secure. So always double-check the calculations and measurements—nobody wants an awkward party setup!