Question

The perimeter of a regular polygon is 84 metres. Each side of the polygon is 7 metres. Find the number of sides of the polygon.

Answer 1

perimeter = 84 m

each side = 7m

no.of sides = perimeter÷each side

84÷7 =12sides

Answer 2

Question :-

Each side of a regular polygon is 7 m and its perimeter is 84 m. Find the number of sides of the polygon.

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Solution :-

➲ Given Information :-

• Measure of each side of polygon ➢ 7 m
• Perimeter of the polygon ➢ 84 m

➲ To Find :-

• Number of sides of the polygon

➲ Concept :-

• Area And Perimeter of Plane Figures

➲ Explanation :-

• In order to find the number of sides of the polygon, We have to divide the ' perimeter of the polygon ' with the ' measure of each side of polygon '. The resulting values will be the total number of sides present in the polygon.

➲ Formula Used :-

• $\underline{ \underline{ \boxed{ \boxed{ \bf \red{number \: of \: sides \: of \: polygon = \dfrac{perimeter \: of \: polygon}{measure \: of \: each \: side \: of \: polygon} }}}}}$

➲ Calculation :-

Simply, substituting the values in the formula, We get,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{perimeter \: of \: polygon}{measure \: of \: each \: side \: of \: polygon} }$

Substituting the values given, We get,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{84 m}{7 m} }$

Cancelling & Calculating further, We get,

⇒ $\sf{number \: of \: sides \: of \: polygon = \red {12}}$

∴ Number of sides of the polygon = 12

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Final Answer :-

• The number of sides of this polygon is 12. This means that this figure is a Regular Dodecagon.

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Note :-

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