Final answer:
The width of the rectangle is 4 cm.
Step-by-step explanation:
To find the width of the rectangle, we can set up an equation based on the given information. Let's say the width of the rectangle is 'w' cm. According to the problem, the length of the rectangle is 16 cm more than the width, so the length would be 'w + 16' cm. The perimeter of a rectangle is the sum of all its sides, which can be calculated using the formula: P = 2*(length + width). Substituting the values into the equation, we get: 48 = 2*((w + 16) + w). Simplifying the equation, we have: 48 = 2*(2w + 16). Dividing both sides by 2, we get: 24 = 2w + 16. Subtracting 16 from both sides, we get: 8 = 2w. Finally, dividing both sides by 2, we get: w = 4 cm.