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» Length of string = Perimeter of each figure (a) Perimeter of square = 30 cm ⇒ 4 x side = 30 cm ⇒ side = 30/7 = 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.

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»

Length of string = Perimeter of each figure

(a) Perimeter of square = 30 cm

⇒ 4 x side = 30 cm

⇒ side = 30/7 = 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.

⇒ 6 x side = 30 cm

⇒ side = 30/6 = 5 cm

Thus, the side of each side of hexagon is 5 cm.