A mason has to fit a bathroom with square marble tiles of the largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required?

To find the largest size of tile, we should find HCF of 10 and 8


Prime factors of 10 = 2 × 5


Prime factors of 8 = 2 × 2 × 2


Therefore HCF of 10 and 8 is: 2 ft


Therefore the largest size of tile is: 2 × 12 inches = 24 inches


Number of tiles = = = 20 tiles


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