(d) 5 m
Let the length of one side be x m.
∴ Area of the plot = 60 m, length of the other side = \(\frac{60}{x}\)
Given, 2\(\big(x+\frac{60}{x}\big) = 34\)
⇒ x2 + 60 = 17x
⇒ x2 - 17x + 60 = 0
⇒ x2 - 12x - 5x + 60 = 0
⇒(x - 12)(x - 5) = 0
⇒ x = 12, 5
∴ Length of each shorter side = 5 m.