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               \ 08-Oct-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________








                1.  Find the perimeter of the following figures.
                    (  a)                              (b)        3.6 cm              (  c)
                                      20 cm
                          5 cm                                                                                      1.7 cm


                                   23 cm                    3.6 cm          3.6 cm                  4.5 cm


                                                                  3.6 cm
                2.  Find the area of the following.

                    (  a)                              (  b)                          (  c)








              perimeter

              The  distance  around  the  edges  of  a  closed  figure  is  called  its  perimeter.  We  know  that
              a  plane  figure  bounded  by  only  line  segments  is  called  a  rectilinear  figure.  A  triangle,
              rectangle  and  square  are  rectilinear  figures.  The  sum  of  the  lengths  of  all  the  sides  of  a
              rectilinear figure is called its perimeter.

              Look  at  some  rectilinear  figures  and  their  perimeters.  Let  us  learn  how  we  can  find  the
              perimeter of these figures.

              perimeter of a rectangle
                                                                                                A                    D
              In  the  given  figure,  ABCD  is  a  rectangle  in  which  AB,  BC,  CD  and  DA
              are its sides. We know that the opposite sides of a rectangle are equal.
              Perimeter of rectangle ABCD  = AB + BC + CD + DA

                                                 = AB + BC + AB + BC                             B                   C
                                                                    (Since  AB = CD and AD = BC) = 2(AB + BC)
                                                 = 2(Length + Breadth)

                                   Perimeter of a rectangle = 2(Length + Breadth)

              Example 1:  Find the perimeter of a rectangle whose length is 12 cm and breadth is 7  cm.
              Solution:     Length of the rectangle = 12 cm and breadth of the rectangle = 7 cm

                            Perimeter of the rectangle = 2 (Length + Breadth)                             12 cm
                                                            = 2(12 + 7) cm
                                                                                             7 cm
                                                            = 2 × 19 cm = 38 cm
                            Hence, the perimeter of the rectangle is 38 cm.

               Teacher’s   Explain to students that they can also use the short form for any formula. For example, the perimeter of a
                  Tip      rectangle can also be written as P = 2(l + b), where P stands for perimeter, l for length and b for breadth.


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