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40 square slabs of side 20cm is used to cover a rectangular bathroom .if breadth of the bahroom is 140 cm find the length of the room​

Answer»

Answer:

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 = 10 m

Breadth of the room = 7 m

H.C.F. of 10 and 7

10 = (7*1) + 3

7 = (3*2) + 1

3 = (1*3) + 0  

So, H.C.F. of 10 and 7 is 1

Therefore, the length of the square tile is 1 m

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

Area of the room = 10*7 = 70 sq m

Number of square tile required each measuring 1m × 1m = 70/1

= 70 tiles

 

Hence, the size of each square tile is 1m × 1m and 70 square tiles will be required.

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