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- What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?
Question 1:
What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm? A. 176
B. 187
Feedback 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.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)
=17×11= 187 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.
Hence, the side of the square is 34.
The number of such square marbles required,
=(578×374)/(34×34)
=17×11= 187 marbles
C. 540
D. 748
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