Page 160 - Maths Class 05
P. 160

Area
                                Breadth of a rectangle  =
                                                                   Length

                    We already know that in a square, length and breadth are equal.
                    Hence,

                                                   Area of a square = side × side




            Suppose you have to find the area of the figure shown here. You can do so by drawing the
            figure on a centimetre squared paper and then counting the number of squares enclosed by

            the figure.
                 1.  Count the complete squares.                                                         d a

                     There are 3 complete squares.
                                                                                                  a               d
                 2.  Find those incomplete squares that together may                                              b
                                                                                                   b         c
                     approximately equal one complete square.
                                                                                                   c
                     Here, you, have a + a = 1 square.
                     b + b = 1 square, c + c = 1 square, d + d = 1 square

                                                                                  1
                 3.  Find the area of the square left over. Take its area as      square approximately.
                                                                                  2
                 4.  Total area of the figure = sum of the areas of all the squares

                     Here, area of the given figure.

                                                 1               1
                                                              7
                     = (3 + 1 + 1 + 1 + 1 +       ) sq cm =          sq cm.
                                                 2               2
            Example         :  A room is square in shape. If its one side is of 8 metre length, find the
                                area of the room.

            Solution        :  It is given that the room has square shape.

                              Therefore, area of the room            =     side × side

                                                                     =     8 m × 8 m

                                                                     =     64 sq. m
                 Carry On

                                                                                                  15 m

              Find the total length of the wire required to fence the              3 m                           3 m
              following field :                                                         6 m                 6 m
                                                                                             3 m       3 m
                                                                                             3 m           3 m
                    Also find the area of rectangle (shaded)
                    and square (not shaded)
                                                                                                  5 m  5 m





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