Question

It is required to fit square granite tiles for the flooring of a room of size 20m*6m find the length of each square tile and the number of sequence tile required

Answer 1

Answer:

60 tiles

Step-by-step explanation:

Least number of square tiles are required if the side of the square tile is the H.C.F. of the length and breadth.

length of the room = 20m

Breadth of the room = 6m

H.C.F. of 20 and 6

Factors of 20=1,2,4,5,10,20

Factors of 6=1,2,3,6

The highest common factor is 2

So, H.C.F. of 20 and 6 is 2

Therefore, the length of the square tile is 2 m

Area of 1 square tile = 2*1 = 2 sq m

Area of the room = 20*6= 120sq m

Number of square tile required each measuring 2m × 1m = 120/2

= 60 tiles

 

Hence, the size of each square tile is 2m × 1m and 60 square tiles will be required. 

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