Perimeter of a Polygon


A polygon is a 2-dimensional figure formed by straight sides. The polygon with least number of sides is the triangle. Squares, rectangles, parallelograms, trapezoids are four sided polygons. A polygon with five sides is called a pentagon and a polygon of eight sides is called an octagon and so on.

A polygon with all sides equal and all angles equal is a regular polygon, otherwise it is an irregular polygon.

The perimeter of the polygon is the sum total of the lengths of its sides.

If the length of side of a regular polygon of n sides is l, then its perimeter is given by nl

Find the perimeter of the given polygon.

Polygon

Solution

The perimeter of any shape is the sum of the lengths of its sides.

So perimeter of given polygon =

8 cm + 8 cm + 10 cm + 10 cm + 7 cm = 43 cm

If the length of side of a regular polygon of 8 sides is 6 m, then find its perimeter.

Solution

If the length of side of a regular polygon of 8 sides is 6 m,

then its perimeter is given by nl = no. of sides length of its side

= 8 6 m = 48 m

Advertisements