Final answer:
To find the cost of tiling the walls, the total surface area of the walls is calculated and the areas of the door and window are subtracted. Then, the remaining wall area is multiplied by the cost per square meter of tile, resulting in a total cost of $2224.01.
Step-by-step explanation:
To calculate the cost of tiling the walls, we first need to find the total surface area of the walls, then subtract the areas of the door and window and then multiply the remaining area by the cost per square meter of tile.
The total surface area of the walls equals the perimeter of the room times the height. This is calculated as follows:
Perimeter of the room = (2 x length) + (2 x width) = (2 x 10.2 m) + (2 x 8.5 m) = 20.4 m + 17 m = 37.4 m
Total wall area = Perimeter x height = 37.4 m x 4.6 m = 172.04 m²
Next, we need to subtract the areas of the door and the window:
Area of the door = 1.5 m x 2.6 m = 3.9 m²
Area of the window = 2 m x 1.7 m = 3.4 m²
Total area to subtract = 3.9 m² + 3.4 m² = 7.3 m²
The remaining wall area to be tiled is:
172.04 m² - 7.3 m² = 164.74 m²
Finally, we multiply the remaining wall area by the cost per square meter:
Cost = Area x Rate = 164.74 m² x 13.50/m² = 2224.01
Therefore, the cost of tiling the walls is $2224.01.