3. Your school football team wants to make a new banner to display at the district tournament. The rectangular banner will be dark red, with a white ribbon border. The length of the banner needs to be 15 feet. What are the possible widths of the banner if the length of ribbon available is 46 feet?
Part A: Write and solve an inequality to find the possible widths of the banner.
The ribbon goes around the outside of the banner. The banner has a length of 15 feet and an unknown width. Write an expression to describe the length of ribbon that will be needed. Remember, the perimeter of a rectangle is twice the length plus twice the width. Use w to represent the width. (2 points)

The length of ribbon available is 46 feet. Write an inequality that compares your expression from part 1 with the length of ribbon available. (1 point)

Use the inequality from part 2 to solve for the width of the banner. (2 points)

Write your answer in a sentence. (1 point)

Part B: Assume that the banner needs to be 18 feet long instead of 15 feet. How wide can it be to have enough ribbon to go around?
Rewrite the inequality using an 18-foot length instead of 15 feet. (1 point)

Solve this inequality for w. (2 points)

Write your answer as a sentence. (1 point)