Question

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

Answer 1

hey friend here is your answer....
hope it helps you...

Mark as brainliest if it helps you dear plz..

thankyou!

follow me guys...

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.

____________________

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

___________________

Final Answer :-

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

___________________

Note :-

Kindly scroll from right to left to see the whole solution.