Question

At a community center, you want to rope off an area that is adjacent to a building. The length of the building is 10 ft. You have 42 ft of rope. What are the possible widths of the roped-off area?

A. 11 ft or more
B. 13 ft or more
C. 32 ft or less
D. 16 ft or less

Answer 1

Using the perimeter formula, the maximum width of the roped-off area adjacent to a building, with 42 ft of rope and one side of 10 ft, is 11 ft. Therefore, the width could be 16 ft or less accordingly.

Step-by-step explanation:

To determine the possible widths of the roped-off area adjacent to the building, we can use the perimeter formula for a rectangle. Since one side of the rectangle is adjacent to the building and we have 42 ft of rope, we can express this as:

Perimeter = 2(length + width)

Since the length of the building is known to be 10 ft, we plug this into the equation to solve for the width:

42 = 2(10 + width)

42 = 20 + 2width

22 = 2width

width = 11 ft

Therefore, the maximum width of the roped-off area using all the rope would be 11 ft. However, the roped-off area could be any width that is less than or equal to 11 ft, which means the correct answer is 16 ft or less (since 16 ft is the largest possible width listed that is less than or equal to 11 ft), which corresponds to option D.