Page 230 - SK Year 5 Mathematics DLP
P. 230

4 m
                 2
                          4 m                4 m
                                                    end     10 m


                       4 m                                         start
                                                                                Determine one
                                       4 m                         10 m        side as a starting
                          4 m                                                 point to calculate.
                                   4 m    6 m


                                                      10 m
                 Method 1       Perimeter = (10 + 10 + 6 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 10) m

                                            =     64 m

                                                                          +
                 Method 2       Perimeter = Perimeter of the outer     Perimeter of the outer
                                                sides of the octagon            sides of the square

                                            = (7 × 4 m) + (10 m + 10 m + 10 m + 6 m)
                                            =        m +        m
                                            =        m



                 3  Determine the perimeter of the shaded region.

                                 start
                                            Perimeter of the shaded region               Total up the
                                  6 cm                                               surrounding sides of
                                            = (6 + 6 + 5 + 6 + 5 + 6 + 6) cm         the shaded region.

                                            =        cm                                           6 cm

                           5 cm
                                                                                              5 cm


                                     4 m
                 4
                                                                           Discuss the error in
                     1 m                                              calculation of this perimeter.


                                                    Perimeter of the shaded region
                     2 m                 5 m
                                                    (4 + 5 + 2 + 1 + 1) m = 13 m





             222                     • Carry out exploration activities of two composite shapes using regular
                               6.3.1   polygons including triangles and quadrilaterals to find perimeter.
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