Question

An office is replacing carpet tiles, the area is 5m by 3m, the tiles are 50cm by 50cm. How many tiles are needed?

Answer 1

To cover a floor that is 5 meters by 3 meters with 50 cm by 50 cm carpet tiles, 60 tiles are needed, calculated by dividing the total area of the floor by the area of one tile.

Step-by-step explanation:

First, let's find out how many carpet tiles are needed to cover a floor that is 5 meters by 3 meters. Each tile is 50 cm by 50 cm, which is equivalent to 0.5 meters by 0.5 meters. To calculate the number of tiles needed, we'll use the following steps:

1. Calculate the area of the floor: Area of the floor = length × width = 5 m × 3 m = 15 m².
2. Calculate the area of one tile: Area of one tile = 0.5 m × 0.5 m = 0.25 m².
3. Divide the total area of the floor by the area of one tile to determine the number of tiles needed: Number of tiles = Area of the floor / Area of one tile = 15 m² / 0.25 m² = 60 tiles.

Therefore, 60 carpet tiles are needed to cover an area that is 5m by 3m.