Final answer:
The width of the rectangle is 5 inches and the length is 11 inches.
Step-by-step explanation:
To find the length and width of the rectangle, we can use the given information and the formula for the perimeter of a rectangle. Let's assume the width of the rectangle is 'x' inches. Since the length is 6 inches more than the width, the length can be expressed as 'x + 6' inches. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(x + x + 6) = 32. Simplifying this equation will give us the width and length of the rectangle.
2(2x + 6) = 32
4x + 12 = 32
4x = 20
x = 5
Therefore, the width of the rectangle is 5 inches and the length is 5 + 6 = 11 inches.