Final answer:
The width of the rectangle is 7 cm, calculated using the perimeter formula for a rectangle P = 2l + 2w where the perimeter is 41 cm and the length is 13.5 cm.
Step-by-step explanation:
To find the width of a rectangle when the perimeter and length are known, we use the formula for the perimeter of a rectangle, P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. If the perimeter of the shape is 41 cm and the length is 13.5 cm, we can substitute these values into the formula and solve for w:
- P = 2l + 2w
- 41 cm = 2(13.5 cm) + 2w
- 41 cm = 27 cm + 2w
- 41 cm - 27 cm = 2w
- 14 cm = 2w
- w = 7 cm
Therefore, the width of the rectangle is 7 cm.