A tile is in the shape of a parellogram of base 5cm and corresponding height equal to 3cm.Calculate the number of tiles required to cover an area of 45m^2.
To calculate the number of tiles required to cover an area of 45m², we need to determine the area of a single tile and then divide the total area by the area of one tile.
First, let's calculate the area of one tile. The tile is in the shape of a parallelogram, and its base is 5cm while the corresponding height is 3cm. The area of a parallelogram is given by the formula: Area = base × height.
Area of one tile = 5cm × 3cm
= 15 cm²
However, we need to convert the units from cm² to m², as the given total area is in m².
Since 1 m = 100 cm, we can convert cm² to m² by dividing by 10,000 (100 × 100).
Area of one tile in m² = 15 cm² ÷ 10,000
= 0.0015 m²
Now, let's calculate the number of tiles required to cover 45m². We divide the total area by the area of one tile:
Number of tiles = Total area ÷ Area of one tile
= 45m² ÷ 0.0015m²
= 30,000
Therefore, you would need 30,000 tiles to cover an area of 45m².