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Networks SAC Question 1 A group of tourists from a bowls club are exploring the Treasury Gardens in Melbourne. There are a number of feature sites in the gardens that the tourists would like to see. They are represented as vertices in the network below, with edges representing the available pathways and their lengths in metres between each of the feature sites. The spaces between the paths are garden beds. W 220 m W is the Sir William John Clarke Memorial 320 m 200 m 90 m J is the JF Kennedy Memorial H is the Horse Hitching post 530 m R is the Robert Burns Memorial Statue 630 m T is the public toilets 740 m 130 m a) Explain why the network shown is a planar network. Explain this concept in the context of this problem. (2 marks) b) Use Euler's rule to show that there are 6 faces in this network. (1 mark) c) Represent the network in matrix form. Include labels on the columns and rows. (2 marks)