Page 239 - Start Up Mathematics_7
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8.  Complete the following table:

                        Figure           Length            Breadth             Area             Perimeter
                       Square                                                 169 cm 2
                      Rectangle          80 cm                                                     8 m
                       Square                                                                    4.84 m
               9.  The area of a rectangle is same as that of a square of side 16 m. If the length of the
                 rectangle is 32 m, find its perimeter.

              10.  Barbed wire is to be put around a rectangular flowerbed measuring 20 m by 12 m. If poles
                 are erected after every one metre so that the barbed wire can be put around it, how many
                 poles will be needed in all?


                                                    Maths Lab Activity
              I: Area of a parallelogram

                                                                                       A               D



              Step 1:  Draw a parallelogram ABCD on a sheet of coloured
                        paper and cut it using a pair of scissors.
                                                                                B                 C
                                                                                       A               D

              Step 2:  Draw a perpendicular from vertex A to meet BC                             II
                        at E. Let the perpendicular divide the figure into            I  Altitude
                        two regions I and II.
                                                                                 B      E  Base   C

              Step 3:  Cut the parallelogram along the altitude to separate regions I and II. Paste regions
                        I and II in the interchanged positions to form a rectangle as shown.


                              A′  A″              D    A″                D  A′        A″             D(A′)



                             I          II                   II           I


                        B      E′  E″       C           E″        C  B      E′        E″       C(B)    E′

                        Thus, area of parallelogram = Area of rectangle
                                                             = length × breadth       Altitude
                                                                                     (breadth)
                                                             = base × altitude

                                                                                                 Base (length)
              II: Area of a triangle                                            A
              Step 1:  Draw a triangle ABC on a white sheet of paper.



                                                                             B             C


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