Page 176 - Touchpad Mathematics_Ver1.0_C4
P. 176

E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_10\Chap_10
             \ 12-Nov-2025  Bharat Arora   Proof-8                                     Reader’s Sign _______________________ Date __________





            We use a  square  grid to  measure  area.
            Place  each picture  on  the  grid  and  count
            how many squares  are covered  by  each
            picture.
                 •  Picture A covers 40 squares.

                 •  Picture B covers 54 squares.
            So,  Nupur’s  drawing  (Picture  A)  has  the
            smaller area, while Nikhil’s drawing (Picture
            B) has the larger area.

            If each square has a side of 1 cm, then:
                 •  Area of Picture A = 40 sq. cm                •  Area of Picture B = 54 sq. cm

            We always measure area in square units.
                 •  For small areas, we use square centimetres (sq. cm).
                 •  For bigger areas, we use square metres (sq. m) or even square kilometres (sq. km).

            Example 1. Look  at  the  following  objects placed  on  the  square  grid  and  find  their
            areas.

              a.               b.            c.                                d.












            Solution.  a.  The area covered by an eraser = 12 square units
                         b.  The area covered by a sharpener = 6 square units

                         c.  The area covered by a pencil box = 36 square units
                         d.  The area covered by a ruler = 22 square units

            Example 2. Each square covers an area of 1 square centimetre. Find
            the area of each shape shaded in different colours.                               a.        b.

            Solution.  a.  The pink shaded region covers a total of 7 squares.
                             So, the area of the pink shaded figure is 7 × 1 = 7 sq. cm.

                         b.  The green shaded region covers a total of 11 squares.
                             So, the area of the green shaded figure is 11 × 1 = 11 sq. cm.                    d.
                         c.  The yellow shaded region covers a total of 6 squares.            c.

                             So, the area of the yellow shaded figure is 6 × 1 = 6 sq. cm.
                         d.  The red shaded region covers a total of 9 squares.

                             So, the area of the red shaded figure is 9 × 1 = 9 sq. cm.


                   174       Mathematics 4
   171   172   173   174   175   176   177   178   179   180   181