A piece of string is 30 cm long. What will be the length of each side if the string is used to form: (a) a square (b) an equilateral triangle (c) a regular hexagon?

Length of string = Perimeter of each figure
(a) Perimeter of square = 30 cm
⇒ 4 x side = 30 cm
⇒ Side = 30/4 = 7.5 cm
Thus, the length of each side of square is 7.5 cm.

(b) Perimeter of equilateral triangle = 30 cm
⇒ 3 x side = 30 cm
⇒ Side = 30/3 = 10 cm
Thus, the length of each side of equilateral triangle is 10 cm.

(c) Perimeter of hexagon = 30 cm
⇒ 6 x side = 30 cm
⇒ Side = 30/6 = 5 cm
Thus, the side of each side of hexagon is 5 cm.

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