Question

the perimeter of a rectangular rug is 40 feet. its length is 12 feet. what is its width? 28 feet 8 feet 20 feet 10 feet

Explanation:

Step1: Recall the perimeter formula for a rectangle

The formula for the perimeter \( P \) of a rectangle is \( P = 2(l + w) \), where \( l \) is the length and \( w \) is the width.

Step2: Substitute the known values into the formula

We know that \( P = 40 \) feet and \( l = 12 \) feet. Substituting these into the formula gives \( 40 = 2(12 + w) \).

Step3: Solve for \( w \)

First, divide both sides of the equation by 2: \( \frac{40}{2}=12 + w \), which simplifies to \( 20 = 12 + w \).
Then, subtract 12 from both sides: \( w = 20 - 12 \).

Step4: Calculate the width

\( w = 8 \) feet.

Answer:

8 feet