What is the minimum number of square marbles required to tile a floor of length 2 metres 89 cm and width 3 metres 74 cm? Select the correct option:
A) 176	B) 187	C) 374	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 2 m 89 cm and 3m 74. And it should be the highest factor of 2 m 89 cm and 3m 74.   2m 89 cm = 578 cm and 3 m 74 cm = 374 cm.   The HCF of 289 and 374 = 34.   Hence, the side of the square is 17.   The number of such square marbles required,   =289×374/17×17   =374 marbles   Option(374)
<result>C</result>
What is the minimum number of square marbles required to tile a floor of length 2 metres 89 cm and width 3 metres 74 cm?