Question

The perimeter of a regular polygon is 67.2 m. If each side of the polygon is 9.6 m, how
many sides does the polygon have?​

Answer 1

Answer:

7

Step-by-step explanation:

Let there are n sides. As it's a regular polygon, length of each side is same.

= > Perimeter = 67.2 m

= > sum of all sides = 67.2 m

= > 9.6 + 9.6 + 9.6 +... upto n terms = 67.2

= > 9.6 *n = 67.2

= > n = 67.2/9.6

= > n = 7

Number of sides is 7

Answer 2

Question :-

Each side of a regular polygon is 9.6 m and its perimeter is 67.2 m. Find the number of sides of the polygon.

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Solution :-

➲ Given Information :-

• Measure of each side of polygon ➢ 9.6 m
• Perimeter of the polygon ➢ 67.2 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,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{67.2 m}{9.6 m} }$

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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