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


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