$(6$ pts$.)$ A gardener wishes to set up walkways in his backyard so that visitors can see all of his garden. The main attractions of his garden are labeled as vertices in the graph below. All of the ways he can create walkways are shown in the graph with distances in feet. What is the minimum number of feet of walkway he needs to use? Remember to include the unit of measure in your final answer. Also, clearly mark the edges you selected in the graph below.