A piece of string is 30 cm long. What will be the length of each side

1.	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?
Answer» (a) perimeter a square = 4 × side of the square = 30 = 4 × side of the square ∴ Side of the square = 30/4 = 7.5 cm Side of the square = 7.5 cm. (b) perimeter an equilateral triangle = 3 × side of the ∆ 30 = 3 × side of the ∆ Side of the triangle = 30/3 = 10 cm Side of the equilateral ∆ = 10 cm. (c) perimeter of a regular hexagon = 6 × side of the regular hexagon 30 = 6 × side Side = 30/6 = 5 cm Side of the regular hexagon = 5 cm.

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?

Answer»

(a) perimeter a square = 4 × side of the square

= 30 = 4 × side of the square

∴ Side of the square = 30/4 = 7.5 cm

Side of the square = 7.5 cm.

(b) perimeter an equilateral triangle = 3 × side of the ∆

30 = 3 × side of the ∆

Side of the triangle = 30/3 = 10 cm

Side of the equilateral ∆ = 10 cm.

30 = 6 × side

Side = 30/6 = 5 cm

Side of the regular hexagon = 5 cm.