Question

The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle?

(1 point)
Responses

4 inches

4 inches

10 inches

10 inches

15 inches

15 inches

20 inches

Answer 1

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:

1. Divide both sides by 2:

\[
16 = 12 + \text{width}
\]

2. 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**.