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?

Solution: (a) Length of string = 30 cm Number of equal sides in a square = 4 ∴ Length of each side of the square = 30 cm ÷ 4 = 7.50 cm (b) Length of string = 30 cm Number of equal sides in equilateral triangle = 3 ∴ Length of each side of the equilateral triangle = 30 cm ÷ 3 = 10 cm (c) Length of string = 30 cm Number of equal sides in regular hexagon = 6 ∴ Length of each side of the regular hexagon = 30 cm ÷ 6 = 5 cm