Question

If large square beds of equal size are to be made for planting vegetables on a plot of land 24 meters long and 36 meters wide, what is the maximum possible length of each bed?

• A. 16 m
• B. 12 m
• C. 10 m
• D. 15 m

Answer 1

The correct option is B 12 m

Length of the plot = 24 m
Breadth of the plot = 36 m
The maximum possible length of each square bed is the greatest common factor of 24 and 36.
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Highest common factor of 24 and 36 = 12
∴ Maximum possible length of each square bed = 12
Thus, the maximum possible length of each square bed is 12 m.