Question

1. The length of a rectangle is 6 m longer than its width. The perimeter of the rectangle is at least 120 m. What is the least possible value for the width? (a) Write an inequality to model the problem. Explain why the inequality models the problem. (b) Solve the inequality. Show your work. (c) Answer the question. Answer:

Answer 1

Inequality: 120m>=2w+2(6+w). (6+w=l). this is it because you cant have a bigger perimeter than what you need. distribute: 120m >=4w+12. subtract 12 from both sides, then divide by 4. that will give you w=27. add 6 and get 33 for length