How To Find The Perimeter Of A Polygon

Perimeter of a Polygon

Polygon

Polygon refers to a airtight 2D shape which is made upward of a finite number of line segments. The number of vertices of a polygon is always equal to the number of line segments. Examples of polygons are:

Perimeter of a polygon

The total distance of the outer sides of a airtight figure is known as the perimeter. It is the total length of all sides of a polygon.

Perimeter = Sum of all sides

The unit of measurement of the perimeter of whatsoever polygon will remain the same every bit the unit of its respective sides. If the sides are given in unlike units, then convert them to the same unit and then find the perimeter.

Perimeter of a regular polygon

A regular polygon has all sides equal. Therefore, nosotros can find the perimeter of a regular polygon by repeated addition. And so, nosotros add together the same length 'n' times if there are 'n' sides in the polygon.

Perimeter of a regular polygon = (length of one side) × number of sides

Example one: Observe the perimeter of a regular hexagon with a iv cm long side.

The perimeter of a regular polygon = (length of ane side) × number of sides

Perimeter of a regular hexagon = 4 cm × 6

= 24 cm

Example ii: A pentagon has all sides equal to 6 cm. What will be its perimeter?

All the sides of the pentagon are equal. Therefore, it is a regular polygon.

The perimeter of a regular polygon = (length of ane side) × number of sides

Perimeter of a regular pentagon = 6 cm × 5

= xxx cm

Perimeter of an irregular polygon

It is the total distance around a polygon. Information technology can be found by adding together all the sides of the polygon.

Example one: Work out the perimeter of the following rectangle:

Perimeter = Sum of all the sides

Perimeter of rectangle = Length + Width + Length + Width

Perimeter of the rectangle = 15 cm + seven cm + 15 cm + 7 cm = 44 cm

Hence, the formula of the perimeter of a rectangle:

Perimeter = 2 × length + width

Example 2: Work out the perimeter of the following polygon:

Perimeter = Sum of the length of all the sides

= 13 cm + iii.five cm + 3.5 cm + xiii cm + four cm = 37 cm

Example 5: Surface area of a square is given as 100 cmⁱⁱ. Find its perimeter.

Area of square = 100 cm²

Formula for expanse of square = Side Side

As, 100 = Side Side

Hence, Side = x cm

Perimeter of a Foursquare = Side + Side + Side + Side = 4 Sides

= iv×ten=40 cm

Fun Facts

The headquarters of the US Section of Defense is chosen "The Pentagon" because unlike other buildings which have simply iv sides information technology has five sides.