Question

you want to install wall-to-wall carpeting in the family room. the floor plan is shown. if the cost of the carpet you would like to purchase is $39 per square yard, what is the cost (in dollars) of carpeting your family room? assume that there is no waste. hint: $9\\ \text{ft}^2 = 1\\ \text{yd}^2$. (round your answer to the nearest cent.)

Explanation:

Step1: Calculate area of two rectangles

First rectangle: \(6 \times 8 = 48\) square feet.
Second rectangle: \(11 \times 11 = 121\) square feet.
Total area in square feet: \(48 + 121 = 169\) square feet.

Step2: Convert square feet to square yards

Using \(9\ \text{ft}^2 = 1\ \text{yd}^2\), so \(\frac{169}{9} \approx 18.7778\) square yards.

Step3: Calculate total cost

Cost per square yard is \$39, so total cost: \(18.7778 \times 39 \approx 732.33\) dollars.

Answer:

\(732.33\)