Answer:
To find the cost of covering the floor with tiles, we need to calculate the number of tiles required and then multiply it by the cost of each tile.
Explanation:
1. Calculate the area of the floor: The floor is 4.5 m long and 3.6 m wide, so the area can be found by multiplying these two dimensions:
Area = length x width = 4.5 m x 3.6 m = 16.2 square meters
2. Calculate the number of tiles needed: Since the tiles are 6 cm square, we need to convert the area of the floor to square centimeters before dividing it by the area of one tile:
Area in square centimeters = Area in square meters x (100 cm/1 m)^2
Area in square centimeters = 16.2 square meters x (100 cm/1 m)^2 = 16200 square centimeters
Number of tiles = Area in square centimeters / Area of one tile
Number of tiles = 16200 square centimeters / (6 cm x 6 cm) = 4500 tiles
3. Calculate the cost to cover the floor: Since each tile costs 23.25, we can multiply the number of tiles by the cost per tile to find the total cost:
Cost to cover the floor = Number of tiles x Cost per tile
Cost to cover the floor = 4500 tiles x 23.25 = 104625
Therefore, the cost to cover the floor with these tiles will be 104625.