13. apply math models a manager needs to rope off a rectangular section for a private party. the length of…

13. apply math models 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?

13. apply math models 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?

Answer

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter (P) of a rectangle is given by (P = 2(l + w)), where (l) is the length and (w) is the width. Here, (l=7.6) meters.

Step2: Set up the inequality based on the rope - length constraint

The manager can use no more than 28 meters of rope. So, (P\leq28). Substituting (l = 7.6) into the perimeter formula, we get (2(7.6+w)\leq28).

Answer:

(2(7.6 + w)\leq28)