Mr. Smith uses 400 square tiles to cover the floor of a bedroom. The bedroom has an
area of 25 square metres. What are the dimensions of a square tile in centimetres?
First, we need to convert the area of the bedroom from square metres to square centimetres, so we multiply by 10,000:
25 square metres = 25,000 square centimetres
Now, we can find the size of each tile by dividing the total area by the number of tiles:
25,000 / 400 = 62.5
So each tile has an area of 62.5 square centimetres. Since a square has equal sides, we can find the length of one side by taking the square root of the area:
√62.5 = 7.91 (rounded to two decimal places)
Therefore, each tile is a square with sides of 7.91 centimetres.
To find the dimensions of a square tile, we need to calculate the area of each tile and then find the length of one side.
Given:
- The bedroom has an area of 25 square meters.
- Mr. Smith uses 400 square tiles.
To Calculate the area of each tile:
Area of each tile = Area of the bedroom / Number of tiles
Area of each tile = 25 square meters / 400 tiles
Area of each tile = 0.0625 square meters
To find the length of one side, we take the square root of the area of each tile:
Length of one side of a square tile = √(Area of each tile)
Length of one side of a square tile = √(0.0625 square meters)
Length of one side of a square tile = 0.25 meters
To convert meters to centimeters, we multiply by 100:
Length of one side of a square tile = 0.25 meters * 100
Length of one side of a square tile = 25 centimeters
Therefore, the dimensions of a square tile are 25 centimeters by 25 centimeters.