Question

A community hall is 16 m long 50 cm and 15 m 25 cm wide it is to be paved by square marble stone tiles of the same size find the largest size of tile that can be used and the least number of such tiles required

Answer 1

A community hall is 16m 50cm long and 15m 25cm wide.It is to be paved by square marble stone tiles.Find the largest size of each tile and least number of tiles required. 
Solution :
             length = 16m50cm
                       = 1650 cm
             Width = 15m25cm
                        =1525 cm
Side of the Square marble Stone = H.C.F of 1650 and 1525
                   So first calculate HCF of 1650 and 1525
                   Hcf of  1650 and 1525 =  25

Therefore NUmber of tiles required = total area of hall / area of square marbles
                                                 = 1650*1525 / 25*25
                                                  =  4026


Hope this helps you!!!