wht is the minimum number of square marbles required to tile a floor of length 5 m 78cm and width of 3m 74cm

• The marbles used to tile the floor are square marbles. Therefore, the length of the marble = width of the marble.
  As we have to use whole number of marbles, the side of the square should a factor of both 5 m 78 cm and 3m 74. And it should be the highest factor of 5 m 78 cm and 3m 74.
  
  5 m 78 cm = 578 cm and 3 m 74 cm = 374 cm.
  The HCF of 578 and 374 = 34.
  
  Hence, the side of the square is 34.
  
  The number of such square marbles required =(578*374)/(34*34) = 187 marbles.
• 11 years agoHelpfull: Yes(15) No(0)
• H.C.F of 578 & 374 is 34 therefore 34 sized squares to be arrage
  578=34x17 on length side 17 marbles are used
  374=34x11 on width side 11 marbles are used
  therefore 11x17=187 marbles are used
  
• 11 years agoHelpfull: Yes(1) No(1)
• 5 m 78cm--->578cm and 3m 74cm---->374cm
  578*374=216172
  and perfect square nearer to and greater than 226576
  226576-216172=10404=102*102. So minimum number of square marbles req.=102
• 11 years agoHelpfull: Yes(1) No(1)
• 187 tiles of 34cm*34cm dimensions
  
• 11 years agoHelpfull: Yes(0) No(1)
• Option(B) is correct
  
  The marbles used to tile the floor are square marbles.
  
  Therefore, the length of the marble=width of the marble.
  As we have to use whole number of marbles, the side of the square should a factor of both 5 m 78 cm and 3m 74. And it should be the highest factor of 5 m 78 cm and 3m 74.
  
  5 m 78 cm = 578 cm and 3 m 74 cm = 374 cm.
  The HCF of 578 and 374 = 34.
  
  Hence, the side of the square is 34.
  
  The number of such square marbles required,
  
  =578×37434×34
  =17×11= 187 marbles
• 4 years agoHelpfull: Yes(0) No(0)