Question

5. Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.

Answer 1

Step-by-step explanation:

Measure of one side =5.2m

As it is a regular polygon, then measure of all its sides is equal.

Let the number of sides be x

So perimeter of the polygon = x ×5.2 (sum of all sides)

36.4 = x × 5.2

x = 36.4/5.2

x = 7

Answer 2

Question :-

Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.

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Solution :-

➲ Given Information :-

• Measure of each side of polygon ➢ 5.2 m
• Perimeter of the polygon ➢ 36.4 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,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{36.4 m}{5.2 m} }$

Cancelling & Calculating further, We get,

⇒ $\sf{number \: of \: sides \: of \: polygon = \red 7}$

∴ Number of sides of the polygon = 7

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Final Answer :-

The number of sides of this polygon is 7. This means that this figure is a Regular Heptagon.

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Note :-

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