Page 112 - Maths Skill - 6
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110                                                                                                  Maths


                                                INTEGRATED QUESTION


        The municipal corporation of a city is planning to make a park in the city.
          1.  The park will have a water pond in the shape
            of the rectangle. The side of the pond will be
            8 metres and width will be 5 metres. It will have
            a square shape pond on the other side as shown
            in the picture. The one side of this pond will be
            2 metres. Find the total area of the both ponds.

          2.  A square shape swimming pool with perimeter
            of 440 m also needs to be made. To make it the
            floor of the pool has to be tiled. If the cost of the
            tiling is ` 300 per metre square, find the cost of
            tiling the swimming pool floor.
          3.  The park will also have a parking space. Each
            side of space will have area of 15 square metre.
            What will be its dimension?


                                                            HOTS
                                                                                                       2 m
          1.  Inside a rectangular park of dimension 60 m by 40 m, a path 2 m wide is built in
            the middle, one along the length and other along the breadth. What is the area of                     40 m
            the remaining part of the park?                                                   2 m
          2.  Draw (if possible) a polygon inside an equilateral triangle such that the               60 m
             (i)   area of the polygon is greater than that of the equilateral triangle.

            (ii)   perimeter of the polygon is greater than that of the equilateral triangle.
          3.  How many envelopes of size 20 cm × 30 cm be made from a rectangular sheet of paper
            measuring 5 m × 3 m?                                                                                  20 cm
          4.  Can two different polygons have both their area and perimeter equal?
                                                                                                       30 cm

             Word Stock
          Area          Perimeter         Square           Boundary       Regular       Irregular     Shape



                Activity

        Objective: To distinguish between perimeter and area.
        Materials Required: Measuring tape, ruler, chalk, thin rope.

        Procedure:  1.  The class will be divided into two groups say ‘A and P’ where A stands for area and P stands for
                        perimeter.

                     2.   The teacher will allow them to work on a patch of land (rectangle or square) in the field. Group
                        ‘P’ will find out the length of rope required to make a boundary.
                     3.   Group ‘A’ will divide the land into squares of equal size (1 m × 1 m) using chalk and find the area
                        of the land.
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