Page 144 - Maths Class 06
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Unit of Perimeter
            The perimeter of any closed figure is measured in mm, cm, m or km.
                                                                 1
                     1 m = 100 cm                or     1 cm =       m;                      1 cm = 10 mm
                                                                100
                             1
                                                                                                               2
            or     1 mm =       cm;                     1 km = 1000 m,                    1 hectare = 10000 m .
                            10

               NOTE

               The opposite sides of a rectangle are equal.
               To find the perimeter of a figure, we need to find the length of the boundary.


            For examples,

            Look at the figures given below. Let us find the perimeter of these figures:
                                                             P  2 cm  Q                        N   5 cm   M
                       A      8 cm      B                           4 cm                        9 cm      9 cm


                       5 cm                 6 cm              7 cm  R    5 cm     S            O          L

                                                                                              3 cm      3 cm
                       D          10 cm          C            U        8 cm       T                 K
                                    (i)                                (ii)                        (iii)

              1.   Perimeter of the Fig. (i) = AB   + BC  + CD  + DA

                                               = 8  cm + 6 cm   + 10 cm +    5 cm
                                               = 29 cm
              2.   Perimeter of the Fig. (ii) = PQ   + QR  + RS  + ST  + TU  + UP

                                               = 2  cm + 4 cm   + 5 cm +    3 cm + 8 cm    + 7 cm
                                               = 29  cm

              3.   Perimeter of the Fig. (iii) = KL  + LM  + MN  + NO OK
                                                                      +
                                               = 3  cm + 9 cm   + 5 cm +    9 cm + 3 cm
                                               = 29  cm


                                                   Perimeter of a Rectangle
            What do we know about the sides of the rectangle? We know that the opposite
                                                                                               D                     C
            sides are equal.
            Since ABand   CD are the lengths and BCand    DA are the breadths, we can say                             b
            that:
            Perimeter of rectangle = length + breadth + length + breadth                       A           l         B

                                    = 2 × length + 2 × breadth
                                    = 2 × (length + breadth)

            Perimeter of rectangle = 2 × (l +   ) b                  where, length = l, breadth = b
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