Page 157 - Maths Class 05
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83        =  2 × 3 + 2 × breadth

                                                    83        =  6 + 2 × breadth

                                                 83 – 6       =  2 × breadth
                                                     77       =  2 × breadth

                                               Breadth        =  77 ÷ 2 = 38.5 cm

                             So, the breadth of the rectangle is 38.5 cm        .

            Perimeter of a Square                                                                               S


            In the square shown, the perimeter will be the sum of all its sides.
                                                                                                      S                S
                  Perimeter        =     S + S + S + S = 4S

                  Perimeter of a square   =         4 × side.                                                   S

            Example   :  Find the perimeter of a square whose each side measures 9 cm                     .

            Solution   :  Side of the square              =     9 cm

                                        Perimeter         =     4 × side

                                                          =     4 × 9

                                                          =     36 cm

                           Shape                             Formula                           Example


                                                                                     If  AB  =  6 cm,


                   D                    C                                              BC  =  5 cm,
                                                           Perimeter =               perimeter of rectangle
                                          l         2 × (length + breadth)                   =  2 × (l + b)

                                                                 or                          =  2 × (6 + 5)
                   A          l         B                                                    =  2 × 11


                                                                                             =  22 cm


                                                                                     If one of its sides
                              S
                     D                 C                                                     =  7 cm, then

                                                                                     perimeter of square
                     S                  S             Perimeter = 4 side             ABCD        = 4 ×side

                                                                                                 = 4 × 7 cm
                     A        S        B
                                                                                                 =  28 cm






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