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

Question

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

Answer 1

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.

Answer 2

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

We convert 1 foot to 12 inches. Let the width be $w$. The perimeter is $2\cdot (12 + w) = 24 + 2w$. We have $24+2w = 32$, so $2w=8$ and $w=\boxed{4}$.