Page 173 - Mathematics Coursebook
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18.2 Calculating the area and perimeter of rectangles


               )     Exercise 18.2


               1  Work out the area and perimeter of each of these rectangles.
                     2 cm
                                                                          5 mm
                                                 4 m
                  a 2 cm                     b  4 m 4 m                 c5 mm
                      2 cm
                                                                           5 mm
                     2 cm
                   2 cm2 cm                    4 m 4 m                   5 mm
                                                                          5 mm
                                                                          5 mm
                                                 4 m
                             4 cm
                                                                                    8 mm
                            4 cm                                                  8 mm
                              4 cm
                                                                                     8 mm
                                                         5 m
                            4 cm4 cm                   5 m 5 m                    8 mm
                             4 cm
                                                                                   8 mm
                                                                                    8 mm
                                                        5 m
                                                        5
                                                       5 mm
                  d                          e                          f
                                                                         3 mm
                                                                          3 mm
                     5 cm                     7 m                       3 mm
                   5 cm                      7 m 7 m                    3 mm
                     5 cm
                                                                         3 mm
                                                                         3 mm
                                              7 m
                   5 cm5 cm                  7 m 7 m                                12 mm
                    5 cm
                                                                                   12 mm
                                                                                     12 mm
                                                                                    12 mm
                                                                                  12 mm
                                                                                    12 mm
                              5 cm
                                                         8 m
               2  A sheet of A5 paper is 210 mm long and 148 mm wide.
                                                          8 m
                               5 cm
                                                       8 m
                             5 cm
                                                         8 m
                            5 cm5 cm
                              5 cm
                 What is the area of a sheet of A5 paper? 8 m 8 m
               3  Connor is laying a new patio in his garden.                                  4 m
                 The diagram shows the dimensions of his patio.
                 Work out:
                  a  the area of the patio    b  the perimeter of the patio.                                  2.5 m
                                                        2
               4  A rectangular room has an area of 12 m .
                 The length of the room is 4 m.
                 Work out:
                  a  the width of the room     b the perimeter of the room.

               5  Copy and complete both methods shown to find the area of this rectangle.
                 Method 1                          Method 2                            3 mm
                 Width = 3 mm = 0.3 cm             Length = 2 cm = 20 mm
                 Area = 2 × 0.3 =    cm            Area = 20 × 3 =    mm 2                            2 cm
                                        2
               6  The table shows some information about five rectangles A to E.

                    Rectangle   Length     Width       Area    Perimeter
                        A       8 mm       6 mm
                        B                   4 cm      28 cm 2
                        C        12 m                 60 m 2
                       D         8 cm                            22 cm
                        E                 1.5 mm                20 mm
                 Copy and complete the table.
               7  Keira wants new carpet in her hall.
                 The hall is a rectangle that measures 4 m long by 90 cm wide.
                 Work out the area of carpet that she needs.
               8  Oditi and Tanesha are drawing rectangles with whole-number lengths and widths.
                 Who is correct? Explain your answer.
                                   I can only draw three different                 There are four different rectangles
                                                                                                          2
                                 rectangles with an area of 24 cm .                     with an area of 24 cm .
                                                              2
      172      18 Area, perimeter and volume
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