Question

Floor of a room is to be fitted with square marble tiles of largest possible size. the size of the floor is 10m x 7m, what should be the size of tile required and how many such tiles are required

Answer 1

10m=1000cm and 7m=700cm
Largert possible size means HCF
1000=700×3+300
700=300×2+100
300=100×3+0
Therefore hcf =100 cm
Size of tile = 100 ×100
No of tiles =are of floor /size of tile
=1000×700/100×100
=70
No of tiles=70 tiles