The floor of a room is 7m 50cm long and 6m 75cm wide. It is to be paved by equal square marble tiles. Find the largest size of the tile and find the least number of tiles required
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Length of the room = 7 m 50 cm = 7x100 + 50 cm = 750 cm
Width of the room = 6 m 75 cm = 6x100 + 75 cm = 675 cm
The largest square size of the tile that will cover the floor would be the highest common factor of both the sides.
750= 5x5x3x5x2
675 = 5x5x3x3x3
Therefore HCF = 5x5x3 = 75
Therefore tiles of the size of 75 cm will cover the floor
Now the number of times will be (area of the floor) / ( area of the tiles
= 750x675 Sq. cm / 75x75 sq cm
90
so minimum number of squared tiles required will be 90.
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