Question

Each sides of a regular polygon measures 3.2 cm. Find the number of sides of the polygon if its perimeter is 19.2 cm.

Answer 1

Step-by-step explanation:

please follow me

please thank me

Answer 2

Question :-

Each side of a regular polygon is 3.2 cm and its perimeter is 19.2 cm. Find the number of sides of the polygon.

____________________

Solution :-

➲ Given Information :-

• Measure of each side of polygon ➢ 3.2 cm
• Perimeter of the polygon ➢ 19.2 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,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{19.2 cm}{3.2 cm} }$

Cancelling & Calculating further, We get,

⇒ $\sf{number \: of \: sides \: of \: polygon = \red 6}$

∴ Number of sides of the polygon = 6

___________________

Final Answer :-

• The number of sides of this polygon is 6. This means that this figure is a Regular Hexagon.

___________________

Note :-

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