A rectangular floor of a room measures 5.4 m long and 4.2 m wide. The room is to be covered with square tiles. Calculate the minimum number of square tiles that can be used to cover the floor.
the GCF (greatest common factor) of 5.4 and 4.2 is .6
the square tiles will be .6 m on a side
there will be nine rows of seven tiles each
Right
To calculate the minimum number of square tiles needed to cover the floor, we need to find the area of the floor and divide it by the area of one square tile.
1. Calculate the area of the floor:
Area = length × width
Area = 5.4 m × 4.2 m
Area = 22.68 m²
2. Determine the area of one square tile. If the length of one side of the square tile is "s", then the area of the square tile is:
Tile area = s × s
We are not given the length of one side of the square tile, so we cannot directly calculate the number of tiles. However, we will use a general formula for area to find the answer.
3. Divide the area of the floor by the area of one square tile:
Number of tiles = Area of floor / Tile area
Number of tiles = 22.68 m² / (s × s)
So, the minimum number of square tiles that can be used to cover the floor is 22.68 m² / (s × s).
To calculate the minimum number of square tiles needed to cover the rectangular floor, we need to determine the area of the floor and divide it by the area of a single tile.
Step 1: Calculate the area of the floor.
The area of the floor is given by multiplying the length and width of the floor:
Area = Length x Width
Area = 5.4 m x 4.2 m
Area = 22.68 square meters
Step 2: Determine the area of a single tile.
Since the tiles are square, the area of one tile is calculated by multiplying the length of one side by itself:
Area of a Tile = Side Length x Side Length
Step 3: Find the minimum number of tiles needed.
To find the minimum number of tiles needed, we divide the area of the floor by the area of a single tile:
Number of Tiles = Area of Floor / Area of a Tile
Number of Tiles = 22.68 square meters / Area of a Tile
Now, without the information about the size of the tiles, we cannot determine the exact number of tiles needed. However, once you have the size of the tiles, you can substitute it into the equation to find the minimum number of tiles required to cover the floor.