Question

each side of regular side of polygon is 3.25 cm its perimeter is 29.25 find the number of sides of polygon​

Answer 1

Answer:

perimeter = 29.25

=> 3.25 × X = 29.25 ( X is no. of sides )

=> X = 29.25/3.25

=> X = 2925/325

=> X = 585/65

= 117/13

= 9

( that is nanogon means it has 9 sides )

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Answer 2

Question :-

Each side of a regular polygon is 3.25m and its perimeter is 29.25 cm. Find the number of sides of the polygon.

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Solution :-

➲ Given Information :-

• Measure of each side of polygon ➢ 3.25 cm
• Perimeter of the polygon ➢ 29.25 cm

➲ 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,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{29.25 cm}{3.25 cm} }$

Cancelling & Calculating further, We get,

⇒ $\sf{number \: of \: sides \: of \: polygon = \red 9}$

∴ Number of sides of the polygon = 9

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Final Answer :-

• The number of sides of this polygon is 9. This means that this figure is a Regular Enneagon/Nonagon.

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Note :-

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