To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is:
\[ P = 2(\text{length} + \text{width}) \]
Given that the perimeter \( P \) is 32 inches and the length is 1 foot, we first need to convert the length from feet to inches.
1 foot = 12 inches, so the length is 12 inches.
Now we can substitute the values into the perimeter formula:
\[ 32 = 2(12 + \text{width}) \]
Now, simplify the equation:
- Divide both sides by 2:
\[ 16 = 12 + \text{width} \]
- Subtract 12 from both sides:
\[ \text{width} = 16 - 12 = 4 \]
So, the width of the rectangle is 4 inches.
The correct response is 4 inches.