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             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





              6.  A carpenter wants to fix a steel frame on the four sides of the top of a table. If the length and breadth
                 of the table are 3 m and 1 m, respectively, find the length of the steel frame required.
              7.  Which costs more: fencing a rectangular field of length and breadth 38 m and 20 m respectively, or
                 fencing a square field of side 30 m, if the cost of fencing is `25 per metre? By how much?

              8.  Find the cost of fencing a rectangular park with a length of 155 m and a breadth of 145 m at the rate
                 of  `12 per metre.
              9.  A piece of string is 42 cm long. What would be the length of each side if the string is used to form
                 (a)  an equilateral triangle?   (b)  a regular heptagon?
             10.  The perimeter of a regular heptagon and that of a rectangle are equal. If the side of the heptagon is
                 8 m and the length of the rectangle is 15 m, find the breadth of the rectangle.
             11.  Shubhi wants to fence his land with 6 rows of wire. The length and the breadth of his land are
                 18 m and 9 m, respectively. Find the length of the wire required.


                  activity
                                                        Split and Rejoin
              •   Take a rectangular piece of paper of dimensions 9 cm × 6 cm and cut of as shown into two
                equal pieces.                                                                               6 cm

              •  Join the two pieces in different ways and ask your classmate to find their perimeters.
                1.  Assume that your bench partner asks you to compute the perimeter in the following   9 cm
                  positions.
                             9 cm         9 cm
                                                                           6 cm
                (a)  3 cm                                       (b)

                   3 cm



                                                    3 cm      3 cm
                (c)                              (d)                              (e)


                                                                                                    2 cm


                What would be your answer?
                2. Can you arrange the two pieces to form a figure with a perimeter of 40 cm?
            Understanding Area


            Seema is working on her new craft, in which she wants to cover a rectangular sheet of paper of
            size 12 cm by 9 cm with stickers of size 1 cm by 1 cm. How many stickers does she need to cover
            the entire sheet?

            As we can see, she has pasted 12
            stickers in 1 row and she needs to
            paste stickers in 9 such rows.

            So, the number of stickers needed =
            12 × 9 = 108
            We can say the size of the rectangular
            sheet is the same as the size of 108


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