Answer:
The total cost of the new carpeting is $ 1,055.43.
Explanation:
Since I decide that I want new carpeting in my bedroom that measures 12 feet 6 inches wide by 15 feet 9 inches long, and the price of the carpet and the underlying pad is $ 3.49 per square foot, and I decide to upgrade to the deluxe underlying pad that costs an additional $ 0.62 per square foot, and the fee for installation is a flat fee of $ 180, to determine what is the total cost, including sales tax of 6.7%, of the carpet, pad, and installation, the following calculations must be performed:
1 inch = 0.08333 feet
6 inches = 0.08333 x 6 = 0.5
9 inches = 0.08333 x 9 = 0.75
12.5 x 15.75 = Bedroom area
196,875 square feet = Bedroom area
((196.875 x (3.49 + 0.62)) + 180) x 1.067 = Total cost
((196,875 x 4.11) + 180) x 1,067 = Total cost
(809.15625 + 180) x 1.067 = Total cost
989.15625 x 1.067 = Total cost
1,055,429 = Total cost
Therefore, the total cost of the new carpeting is $ 1,055.43.