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) a regular pentagon? (iii) an equilateral
triangle?
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Answer:
1.Perimeter of a square= Length of the string
4 × Side of the Square= 30 cm
∴ Side of the Square= 30 cm/4= 7.5 cm
2. Perimeter of an equilateral triangle= Length of the string
3 × Side of equilateral triangle= 30 cm
∴ Side of equilateral triangle= 30 cm/10= 10 cm
3. Perimeter of a regular hexagon= Length of the string
6 × Side of regular hexagon= 30 cm
∴ Side of regular hexagon= 30 cm/6= 5 cm
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