Perimeter - Orchids The International School
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Area and Perimeter

Perimeter

  • The perimeter is defined as the total boundary length of the particular shape.
  • Let us learn how to find the perimeter of rectangles and squares.

Rectangle

  • A rectangle has two dimensions namely length and breadth.
  • The formula to calculate the perimeter of the rectangle is
    Perimeter = 2 Length + 2 Breadth
  • The unit of the perimeter is linear.
Boy

Example:

Find the area of the rectangle with a length of 22 cm and a breadth of 13 cm.

Solution:

Length of the rectangle = 22 cm

Breadth of the rectangle = 13 cm

Perimeter of the rectangle = 2 × 22 cm + 2 × 13 cm

               = 44 cm + 26 cm

               = 70 cm

Square

  • All sides of the square are equal in length.
  • The formula to calculate the perimeter of the square is Perimeter = 4 × Side
Boy

Example:

Find the perimeter of a square with a side of 19 cm.

Solution:

Side of the square = 19 cm

The perimeter of the square = 4 × 19 cm

                = 76 cm

Unit of Perimeter

  • Perimeter is the sum of the boundary length of the shape.
  • When the perimeter of the rectangle is calculated then it has to be made sure that the unit of the length and breadth are the same.
  • When we add two same linear units, we get the linear unit.
  • Therefore, the perimeter is always measured in the linear unit.
  • For example, the perimeter of the rectangle with length and breadth of 15 m and 12 m is 54 m.

Perimeter of Polygon

Example:

Find the perimeter of the given figure.

Boy

Solution:

Perimeter = (5 + 2 + 2 + 2 + 4 + 2 + 6 + 9) cm

        = 32 cm

Missing Length

Example:

If the perimeter of the given figure is equal to 21 cm, then calculate the missing sides.

Boy

Solution:

Step 1:

Sum of the given sides = (4 + 6 + 2) cm

            = 12 cm

Step 2:

Perimeter = 21 cm

Missing Length = 21 cm – 12 cm

           = 9 cm

New words:

The perimeter of a circle is called the circumference.

Boy

Did you know?

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