• The length of a floor is 3 m 30 cm and the
breadth is 4 m 44 cm. What is the maximum
length of square tiles that can completely
cover the floor?
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Answer:
Given:
Length of the floor = 3m 30 cm = 330 cm
Breadth of the floor = 4m40 cm = 440 cm
330=2×3×5x11
440 = 2×2 ×5x11
Their GCD is 2x5x11 = 110
Maximum length of the square tile
= The greatest number which divides = both length and breadth
= GCD of 330 and 440
= 110 cm
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