Archive
9th of September 2015
Mathematics
Q:

Find the least number of square tiles required to pave the floor of a room 15m 17cm long and 9m 2cm broad.

Please explain why side of square tiles is lcm of 1517,902

Mkvinvestments6 Vijayvargiya - CBSE - Class X

Wednesday, September 09, 2015 at 18:08:PM

A:

Hi

begin mathsize 14px style L e n g t h space o f space r o o m equals 15 m 17 c m equals 1500 c m plus 17 c m equals 1517 c m B r e a d t h space o f space r o o m equals 9 m 2 c m equals 900 c m plus 2 c m equals 902 space c m  N o w comma space H. C. F. space o f space 1517 space a n d space 902 space i s space 41.  T h u s comma space a r e a space o f space e a c h space t i l e equals left parenthesis 41 cross times 41 right parenthesis equals 1681 space s q. space c m  H e n c e comma space r e q u i r e d space n u m b e r space o f space t i l e s equals fraction numerator 1517 cross times 902 over denominator 1681 end fraction equals 814 end style

Wednesday, September 09, 2015 at 18:18:PM