To find the number of tiles required, we need to calculate the area of the floor and divide it by the area of each tile.
The area of the floor is given by the product of its length and width: Area of floor = 15 m × 8 m = 120 m²
The area of each tile is given by the product of its length and width: Area of tile = 50 cm × 25 cm = 1250 cm²
To convert the area of the tile to square meters, we divide by 10,000 (since 1 m² = 10,000 cm²): Area of tile = 1250 cm² ÷ 10,000 = 0.125 m²
Now, we can calculate the number of tiles required by dividing the area of the floor by the area of each tile: Number of tiles = Area of floor ÷ Area of tile = 120 m² ÷ 0.125 m² = 960 tiles
Therefore, 960 tiles are required to cover the floor.
To find the fraction of the floor that is uncovered when a carpet is laid with a 1 m space between its edges and the edges of the floor, we need to calculate the area of the uncovered space and divide it by the area of the floor.
The length and width of the carpet will be 2 m longer than the floor, since there is a 1 m space on each side: Length of carpet = 15 m + 2 m = 17 m Width of carpet = 8 m + 2 m = 10 m
The area of the carpet is given by the product of its length and width: Area of carpet = 17 m × 10 m = 170 m²
The area of the uncovered space is given by the difference between the area of the carpet and the area of the floor: Area of uncovered space = Area of carpet - Area of floor = 170 m² - 120 m² = 50 m²
To find the fraction of the floor that is uncovered, we divide the area of the uncovered space by the area of the floor: Fraction of floor uncovered = Area of uncovered space ÷ Area of floor = 50 m² ÷ 120 m² = 5/12
Therefore, 5/12 of the floor is uncovered when the carpet is laid with a 1 m space between its edges and the edges of the floor.