Final answer:
To cover the bathroom floor of 24 square meters with tiles that have an area of 0.16 square meters each, 150 tiles are needed.
Step-by-step explanation:
The student is asking how many square tiles are needed to cover a bathroom floor that is 6 meters in length and 4 meters in breadth. With each tile having a side of 40 cm (which is 0.4 meters), we need to calculate the total number of tiles required to cover the entire floor area. First, find the area of the floor by multiplying the length by the breadth:
Area of floor = length × breadth = 6 m × 4 m = 24 m².
Next, find the area of one tile:
Area of tile = side × side = 0.4 m × 0.4 m = 0.16 m².
Now, divide the area of the floor by the area of one tile to find the number of tiles:
Number of tiles = Area of floor / Area of tile = 24 m² / 0.16 m² = 150.
Therefore, 150 square tiles will be needed to cover the bathroom floor.