Page 217 - New Medley 5 Semester 1
P. 217

Observe the following figures:


                  3 cm
          1.                                2.          6 m                   3.       30 cm   20 cm

                  4 cm   5 cm                      3 m             5 m               50 cm           30 cm




                                                         4 m                               50 cm


              Perimeter = 3 cm + 4 cm + 5 cm = 12 cm


              Perimeter = 3 m + 4 m + 5 m + 6 m = 18 m


              Perimeter  = 30 cm + 20 cm + 30 cm + 50 cm + 50 cm = 180 cm


        Perimeter of a Rectangle


        A  rectangle  is  a  special  type  of  the  quadrilateral
                                                                                                               b
        whose opposite sides are equal of length.


        \ Perimeter (P) of a rectangle                                                           l

                                           = Length + Breadth + Length + Breadth


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


        Also  note  that  if the  two  out  of  three  l,  b  and  P  are  given,  we  can  find
        the third.


                                                                     P                     P
        As                               P = 2(l + b), so l =           – b and b =            – l
                                                                     2                     2

        Perimeter of a Square


        As we know the square has all its sides equal in length.                                      a


        \ Perimeter (P)  of a square = Side + Side + Side + Side
                                                                                            a                  a
                                           = a + a + a + a = 4a or 4(Side)


                                              Perimeter ()P
        That is,                side (a) =                                                            a
                                                       4



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