Name 1) Find a spanning tree for the following graph M139 CW3 Chapter 14.4 (10 pts) 155 feet Classroom Building Library 135 feet 2) A college campus plans to provide awnings above its sidewalks to shelter students from the rain as they walk from the parking lot and between buildings. To save money. awnings will not be placed over all of the sidewalks shown in the figure. Just enough awnings will be placed over a select number of sidewalks to ensure that students walking from building to building will be able to do so without getting wet. a. Use a weighted graph to model the given map. Represent buildings as vertices, sidewalks as edges, and sidewalk lengths as weights b. Use Kruskal's Algorithm to find a minimum spanning tree that allows students to move between the parking lot and any buildings shown without getting wet. What is the total length of the sidewalks that need to be sheltered by awnings? 125 feet Cafeteria 115 feet 155 fest Administration Gym 55 faet feet 215 feet 135 feet Parking Lot