Question

a flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. how many such tiles are required to cover a floor of area 1080 m² ? (if required you can split the tiles in whatever way you want to fill up the corners).

Answer 1

The number of parallelogram-shaped floor tiles required to cover a floor area of 1080 m² is 45,000 tiles, calculated by first determining the area of a single tile and then dividing the total area by that number.

Step-by-step explanation:

To calculate the number of parallelogram-shaped floor tiles needed to cover a floor area of 1080 m², we first find the area of a single tile. The area of a parallelogram is given by the formula base x height. Therefore, for one tile with a base of 24 cm and a height of 10 cm, the area is 240 cm². However, since the flooring area is given in square meters, we need to convert the tile area from square centimeters to square meters. There are 10,000 cm² in 1 m², so one tile covers 0.024 m² (240 cm² ÷ 10,000 cm²/m²).

Next, to find the number of tiles needed to cover the entire floor, we divide the total floor area by the area of one tile: 1080 m² ÷ 0.024 m²/tile gives us 45,000 tiles required.