Final answer:
The width of the rectangle is calculated using the formula for the perimeter of a rectangle, P = 2l + 2w. Given a perimeter of 66 cm and a length of 24 cm, the width is found to be 9 cm.
Step-by-step explanation:
The question is asking to find the width of a rectangle given the perimeter and the length. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
To find the width, we can rearrange the formula: w = (P - 2l) / 2.
Substituting the given values into the formula:
w = (66 cm - 2 * 24 cm) / 2
w = (66 cm - 48 cm) / 2
w = 18 cm / 2
w = 9 cm
Therefore, the width of the rectangle is 9 cm.