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, calculate the area of the room in square yards:
Width = 15 ft = 15/3 = 5 yards
Length = 22 ft = 22/3 = 7.33 yards
Area = Width x Length
Area = 5 yards x 7.33 yards
Area = 36.65 square yards
Next, calculate the cost of the carpet:
Cost per square yard = $30.25
Total cost of carpet = Area x Cost per square yard
Total cost of carpet = 36.65 square yards x $30.25/square yard
Total cost of carpet = $1107.91
Finally, add the installation cost:
Total cost = Total cost of carpet + Installation cost
Total cost = $1107.91 + $177.00
Total cost = $1284.91
Therefore, the total cost to carpet the room is $1284.91.