A piece of string is 30 cm long. What will be the length of each side if the string is used to form:
(i) a square?
(ii) an equilateral triangle?
(iii) a regular hexagon?

Question

A piece of string is 30 cm long. What will be the length of each side if the string is used to form: (i) a square? (ii) an equilateral triangle? (iii) a regular hexagon?

KnowledgeBoat · Accepted Answer

The length of the string = 30 cm (i) When the string is used to form a square, the perimeter of the square = 30 cm. Perimeter of square = 4 × side ⇒ 30 = 4 × side ⇒ side = ⇒ side = 7.5 cm Hence, the length of each side of the square is 7.5 cm. (ii) When the string is used to form an equilateral triangle, the perimeter of the triangle = 30 cm. Perimeter of equilateral triangle = 3 × side ⇒ 30 = 3 × side ⇒ side = ⇒ side = 10 cm Hence, the length of each side of the equilateral triangle is 10 cm. (iii) When the string is used to form a regular hexagon, the perimeter of the hexagon = 30 cm. Perimeter of regular hexagon = 6 × side ⇒ 30 = 6 × side ⇒ side = ⇒ side = 5 cm Hence, the length of each side of the regular hexagon is 5 cm.

Mathematics

A piece of string is 30 cm long. What will be the length of each side if the string is used to form:
(i) a square?
(ii) an equilateral triangle?
(iii) a regular hexagon?

Mensuration

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Mathematics

A piece of string is 30 cm long. What will be the length of each side if the string is used to form:(i) a square?(ii) an equilateral triangle?(iii) a regular hexagon?

Mensuration

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A piece of string is 30 cm long. What will be the length of each side if the string is used to form:
(i) a square?
(ii) an equilateral triangle?
(iii) a regular hexagon?