A room 15' 0" wide and 22' 0" long is carpeted. The cost is $30.25 per square yard and the installation cost is $177.00. What is the total cost to carpet the room? Round the answer to 2 decimal places.
First, we convert the dimensions of the room into yards:
15' 0" = 15/3 = 5 yards
22' 0" = 22/3 = 7.33 yards
The area of the room is the product of the dimensions:
Area = 5 yards * 7.33 yards = 36.65 square yards
The cost to carpet the room is the product of the area and the cost per square yard:
Cost = 36.65 square yards * $30.25/square yard = $1107.81
Finally, we add the cost of installation to find the total cost to carpet the room:
Total Cost = $1107.81 + $177.00 = $1284.81