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an interior designer wants to cover the floor with a marble of a room which is 525 cm long and 375 cm wide. How many minimum no. of marble pieces can be fitted on the floor such that all marble pieces are of same size and square in shape?
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?an interior designer wants to cover the floor with a marble of a room...
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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?an interior designer wants to cover the floor with a marble of a room which is 525 cm long and 375 cm wide. How many minimum no. of marble pieces can be fitted on the floor such that all marble pieces are of same size and square in shape?
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