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?

Answer 1

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.