The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches?
A.
4 inches
B.
10 inches
C.
15 inches
D.
20 inches
To find the width of the rectangle, we need to first convert 1 foot to inches. Since 1 foot is equal to 12 inches, the length of the rectangle is 12 inches.
Let's suppose the width of the rectangle is w inches.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2(length + width)
Given that the perimeter is 32 inches and the length is 12 inches, we can substitute these values into the formula:
32 = 2(12 + w)
Simplifying the equation:
32 = 24 + 2w
Subtracting 24 from both sides:
8 = 2w
Dividing both sides by 2:
4 = w
Therefore, the width of the rectangle is 4 inches.
So, the correct answer is A. 4 inches.