Page 223 - New Medley 5 Semester 1
P. 223

More Area


        Finding the Area of an Irregular Shape

        We  can  find  the  area  of  an  irregular  shape  by  tracing  its  outline  on  a

        square or graph paper and counting the number of squares in its interior.

        For counting the number of squares, follow these rules:


          Z Z Count  the  number  of  complete  squares  in  the
            interior region.                                                            1.

          Z Z Count the number of half-squares. Take the area
                 1
            as      square unit for each one.
                 2
                                                                                              2.
          Z Z Count  the  number  of  more  than  half-squares  as
            complete squares.

          Z Z Ignore the area less than half-square.


        Consider figure 1.

                             Number of complete squares = 6

          Number of squares more than half-square = 4


        and                          Number of half-squares = 0

        \                              The area of the figure = 6 + 4 = 10 sq. units

        Now, consider figure 2.

                             Number of complete squares  = 9,


                                     Number of half-squares = 3

          Number of squares more than half-square = 4

                                                                                 3
        \                              The area of the figure = 9 +                 + 4
                                                                                 2

                                                                       = 13 + 1.5 = 14.5 sq. units


        Finding the Area of Paths Inside/Outside a Field

        When  you  come  across  a  plot,  a  park,  a  garden,  a  field,  etc.,  you  see,

        some  paths  are made for  walking. These paths  may be  along the length,


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