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Question
If large square beds of equal size are to be made for planting vegetables on a plot of land 18 meters long and 15 meters wide, what is the maximum possible length of each bed?
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Solution
Length of the plot = 18 m
Breadth of the plot = 15 m
The maximum possible length of each square bed is the HCF of 18 m and 15 m.
Factors of 18 = 1, 2, 3, 6, 9, 18
Factors of 15 = 1, 3, 5, 15
Common factors of 18 and 15 = 1, 3
∴ HCF of 18 and 15 = 3
∴ Maximum possible length of each square bed = 3 m
Thus, the maximum possible length of each square bed is 3 m.
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