Question

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. This is the description to base the question off of: 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?

Answer 1

To determine the possible width of a banner using a 46-foot ribbon when the length is 18 feet, we use the perimeter formula (P = 2l + 2w) which results in a banner width of 5 feet.

Step-by-step explanation:

When attempting to determine the possible widths of a banner, we need to take into account the perimeter of the banner which is the length of ribbon available. In this case, if the banner needs to be 18 feet long instead of 15, and the length of ribbon available is 46 feet, we can set up an equation to solve for the width of the banner.

The formula for the perimeter P of a rectangle is P = 2l + 2w, where l is the length and w is the width.

2(18) + 2w = 46

36 + 2w = 46

Subtract 36 from both sides:

2w = 10

Divide by 2:

w = 5

Therefore, the width of the banner can be 5 feet.