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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_11
              \\November 22, 2023 5:10 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                5.  Find the area of triangle in each figure.

                    (a)                      (b)                      (c)                     (d)







                6.  Find the area of a square whose perimeter is 120 m.

                7.  A rectangular  plot  has  an  area  equal  to 2550  sq.  m.  Its  length  is  75  m.  Find  the
                    breadth of the rectangular plot.
                8.  Find the area of a rectangle whose length is 24 m and perimeter is 88 m.


                9.  The length  and  breadth  of a  rectangular hall  are 650  cm and  450  cm, respectively.
                    Find the cost of flooring it at the rate of `30 per sq. m.

               10.  Find the area of the following.

                    (a)       9 cm                   (b)   5 cm         5 cm        (c)       9 cm
                                                           7 cm
                                        8 cm                                                            7 cm
                                                                    2 cm     16 cm

                                                                                          5 cm
                          5 cm
                                                                14 cm                              6 cm
                                     7 cm


              AreA of irregUlAr ShApeS


              Let us find the area of the adjoining figure.
              To find the area of closed figures on the squared paper, we follow the given steps:

              Step 1: Count the number of squares of unit length which are completely enclosed by the
                       figure. In the figure, number of complete squares, m = 55

              Step 2: Count the number of squares of unit length which are more than half part enclosed
                       by the closed figure.

                       Here, number of more than half squares, n = 8.
              Step 3: Count  the  number  of those  squares which  are

                       enclosed exactly  half  by the  figure and  divide  the
                       number by 2.

                       Number of half squares, p = 5.
              Step 4: Ignore those  squares which  are not enclosed  less

                       than half by the figure.

              Step 5: Add the total squares of steps 1, 2 and 3 to obtain the area of the complete figure.

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