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?

(a) Given that,

Perimeter of square = 30 cm

We know that,

Perimeter of square = 4 × Side

30 = 4 × Side

Side =

= 7.5 cm

Therefore, side of square is 7.5 cm

(b) Given that,

Perimeter of equilateral triangle = 30 cm

We know that,

Perimeter of equilateral triangle = 3 × Side

30 = 3 × Side

Side =

= 10 cm

Therefore, side of equilateral triangle is 10 cm

(c) Given that,

Perimeter of a regular hexagon = 30 cm

We know that,

Perimeter of regular hexagon = 6 × side

30 = 6 × Side

Side =

= 5 cm

Therefore, side of regular hexagon is 5 cm