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              If we denote the length by l and the breadth by b,
              then the perimeter of rectangle  ABCD = AB + BC + CD + DA

                                                               = l + b + l + b = (2l + 2b)

                                                               = 2(l + b) = 2 × (Length + Breadth)


                Thus, the perimeter of a rectangle is two times the sum of the length and breadth
                of the rectangle.

              Example 4:  Find the perimeter of a rectangle ABCD shown below.

              Solution:      Length of the rectangle (l)   = 6 cm                           A          6 cm         B

                             Breadth of the rectangle (b) = 3 cm                                                     3 cm
                             Perimeter of a rectangle            = 2 × (l + b)              3 cm

                                                                 = 2 × (6 cm + 3 cm)        D         6 cm          C
                                                                 = 2 × 9 cm = 18 cm

              Thus, the perimeter of the rectangle ABCD = 18 cm.

              Perimeter of a Square

              We know that a square has all its sides of equal length.                                 A      a     B

              Perimeter of a square  = Sum of the lengths of its four equal sides

                                           = side + side + side + side                                a              a
                                           = 4 × side = 4 × a
                                                                                                       D     a       C
                The perimeter of a square is four times the length of its side.

              Example 5:  Find the perimeter of a square of side 5 cm.

              Solution:      Length of the side of the square = 5 cm                                  A     5 cm    B
                             Perimeter of the square = 4 × side = 4 × 5 cm                                           5 cm

                                                            = 20 cm                                    5 cm
              Thus, the perimeter of the square is 20 cm.                                             D     5 cm    C


              Perimeter of an irregular ShaPe

              How will you find the perimeter of a figure or shape

              if it is not made up of line segments?                                      Quick Check

              To find the perimeter of such figures or shapes, we                     1.  What is the perimeter of
              use  a string  or thread  to  measure the  boundary of                      your Maths notebook?
              the  figure.  The total  length  of the  string  or thread              2.  What is perimeter of the

              will give the perimeter of the figure.                                      floor of your classroom?


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