Perimeter title image

Perimeter

 

When you have finished this page, try the Perimeter Quiz.

The perimeter of any polygon is the measurement of the distance around the outside of the polygon or circle. The formulas or equations differ depending on the polygon. In all cases save a circle, one can simply add up the measure of the length of each of the sides of a polygon to get the perimeter.

 

  5 Units in Length  
5 Units in Length Square with perimeter squares

5 U

nits in Length

  5 Units in Length  

 

The perimeter of a square would be the sum of the lengths of the sides of the square. Since all sides of a square are equal in length, the perimeter would be 4 times the length of one side of the square. In the example above, the perimeter would be 20 units.

The perimeter of any equilateral or equal sided polygon is the number of sides of that polygon times the length of one side. The chart below:

Polygon Perimeter
triangle image

Equilateral Triangle

Length of side times three

square image

Equilateral Quadrilateral (Square or Rhombus)

Length of side times four

equilaterall pentagon

Equilateral Pentagon

Length of side times five

equilateral hexagon

Equilateral Hexagon

Length of side times six

equilateral heptagon

Equilateral Heptagon

Length of side times seven

   
equilateral octagon

Equilateral Octagon

Length of side times eight

equilateral nonagon

Equilateral Nonagon

Length of side times nine

equilateral decagon

Equilateral Decagon

Length of side times ten

equilateral dodecagon

Equilateral Dodecagon

Length of side times twelve

 

 

 

To get the perimeter of a circle, called the circumference of the circle, one simply has to multiply 2 times pi (about 3.14) times the radius of the particular circle.

circle

 

To get the perimeter of a rectangle, one only needs to know the length of one side and the width of one side of the rectangle. Thus the formula for the perimeter of a rectangle would be:

Perimeter = 2 times the length plus two times the width

P = 2L + 2W

or Perimeter = 2 times the length plus the width.

P = 2(L+W)