how many tiles of 20 cm long and 10 cm wide will be required to floor 8 m and 6 m? please help, with explanation
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Answer :
2400 tiles is required to tile the floor.
Step-by-step explanation :
To Find,
- Number of tiles required.
Solution,
Given that,
- Length of a tile = 20cm long
- Breadth of a tile = 10cm wide
- Length of the floor = 8m
- Breadth of the floor = 6m
First, converting the length and breadth of the floor to centimetres,
Length :-
➞ ( 8 × 100 )cm
➞ 800cm ..... [ 8m = 800cm ]
Breadth :-
➞ ( 6 × 100 )cm
➞ 600cm ..... [ 6m = 600cm ]
As we know that,
Number of tiles = Area to be covered by tiles / Area of a tile,
Therefore,
Area of the floor :-
➞ 800cm × 600cm
➞ 480000cm²
Area of a tile :-
➞ 20cm × 10cm
➞ 200cm²
Now, the number of tiles are :-
➞ 480000 / 200 .... Cancelling two zeros from both numerator and denominator.
➞ 4800 / 2
➞ 2400
∴ Number of tiles required to tile the room is 2400 tiles.
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