\(\text{Length of string} = \text{Perimeter of each figure}\)
(a) Perimeter of square = \(30\) \(cm\)
\(\Rightarrow 4 \times side = 30\) \(cm\)
\(\Rightarrow Side = \frac{30}{ 4} =\) \(7.5\) \(cm\)
Thus, the length of each side of square is \(7.5\) \(cm\).
(b) Perimeter of equilateral triangle = \(30\) \(cm\)
\(\Rightarrow 3 \times side = 30\) \(cm\)
\(\Rightarrow Side = \frac{30}{ 3} = 10 \;cm\)
Thus, the length of each side of equilateral triangle is \(10\) cm.
(c) Perimeter of hexagon = \(30\) \(cm\)
\(\Rightarrow 6 \times side = 30\; cm\)
\(\Rightarrow Side = \frac{30}{ 6} = 5 \;cm\)
Thus, the side of each side of hexagon is \(5\) \(cm\)