What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 40 cm? Options.
A) 170
B) 187
C) 540
D) 748
E) 546
The marbles used to tile the floor are square marbles.   Therefore, the length of the marble=width of the marble.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 40. And it should be the highest factor of 5 m 78 cm and 3m 40.   5 m 78 cm = 578 cm and 3 m 40 cm = 340 cm.   The HCF of 578 and 340 = 34.   Hence, the side of the square is 34.   The number of such square marbles required,   =578×340/34×34   =170 marbles   Option(170)
<result>A</result>
What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 40 cm?