Paul's bedroom is in the shape of a rectangle.It is 4cm long and 3 cm ...
Calculation of the area of Paul's bedroom:
To determine the number of tiles Paul's mother needs to buy, we first need to calculate the area of his bedroom.
Formula for calculating the area of a rectangle:
The area of a rectangle can be calculated by multiplying its length by its width.
Given measurements:
Length of the bedroom = 4 cm
Width of the bedroom = 3 cm
Calculation:
Area of the bedroom = Length × Width
Area of the bedroom = 4 cm × 3 cm
Area of the bedroom = 12 cm²
Conversion of area to square meters:
Since the measurements of the tiles are given in meters, we need to convert the area of the bedroom from square centimeters to square meters.
Conversion factor:
1 square meter = 10,000 square centimeters
Calculation:
Area of the bedroom in square meters = Area of the bedroom in square centimeters ÷ Conversion factor
Area of the bedroom in square meters = 12 cm² ÷ 10,000
Area of the bedroom in square meters = 0.0012 m²
Calculating the number of tiles:
Now that we know the area of Paul's bedroom in square meters, we can calculate the number of tiles required to cover the entire floor.
Given measurements of the tiles:
Length of the tiles = 1 m
Width of the tiles = 1 m
Formula for calculating the number of tiles:
Number of tiles = Area of the bedroom ÷ Area of each tile
Calculation:
Number of tiles = 0.0012 m² ÷ (1 m × 1 m)
Number of tiles = 0.0012 m² ÷ 1 m²
Number of tiles = 0.0012
Final answer:
Paul's mother needs to buy approximately 0.0012 tiles to completely cover the floor of his bedroom. Since it is not possible to buy a fraction of a tile, she would need to buy at least 1 tile.
Therefore, Paul's mother needs to buy 1 tile to completely cover the floor of his bedroom.