A flooring tile has the shape of a parallelogram whose base is 24 cm and thecorresponding height is 10 cm. How many such tiles are required to cover a floor ofarea 1080 m2? (If required you can split the tiles in whatever way you want to fill upthe corners).
Question
A flooring tile has the shape of a parallelogram whose base is 24 cm and thecorresponding height is 10 cm. How many such tiles are required to cover a floor ofarea 1080 m2? (If required you can split the tiles in whatever way you want to fill upthe corners).
Solution
To find out how many tiles are required to cover a floor of area 1080 m2, we need to first calculate the area of one tile.
The area of a parallelogram is given by the formula: Area = base * height.
In this case, the base of the tile is 24 cm and the height is 10 cm. Converting these measurements to meters, we have a base of 0.24 m and a height of 0.1 m.
Now, we can calculate the area of one tile: Area = 0.24 m * 0.1 m = 0.024 m2.
To find the number of tiles required to cover a floor of 1080 m2, we divide the total area of the floor by the area of one tile: Number of tiles = 1080 m2 / 0.024 m2.
Performing the calculation, we get: Number of tiles = 45,000.
Therefore, 45,000 tiles are required to cover a floor of area 1080 m2.
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