Question

A rectangular floor of area (5.4 , m²) is going to be tiled. Each tile is rectangular and has an area of (450 , cm²). An exact number of tiles can be put into the space. How many tiles will be needed?

a) 120
b) 108
c) 80
d) 60

Answer 1

To tile a rectangular floor of an area of 5.4 m² with tiles that are 450 cm² each, the first step is to convert the tile area to square meters, resulting in 0.045 m² per tile. Then, dividing the floor area by the tile area gives the number of tiles needed, which is 120 tiles.

Step-by-step explanation:

The question asks you to find out how many tiles will be needed to cover a rectangular floor that has an area of 5.4 m², given that each tile has an area of 450 cm². First, we need to convert the area of one tile into square meters to match the floor's area measurement. Since 1 m² equals 10,000 cm², we convert 450 cm² to square meters by dividing by 10,000, which results in 0.045 m².

Now, we can calculate the number of tiles needed by dividing the area of the floor by the area of one tile:

Number of tiles = Area of the floor / Area of one tile
Number of tiles = 5.4 m² / 0.045 m²
Number of tiles = 120

Therefore, an exact number of 120 tiles will be needed to tile the rectangular floor.