Jane's shortest route from her home to her workplace is the route that passes along the block in the middle of the graph, which is 2.5 blocks shorter, than the apparently next shortest route.
The shortest distance between two points is a straight line.
The shortest route to her workplace is the route that approximates a straight line the most.
According to the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace are;
For the first path
D= √(2² + 4²)
D = 2√5
For the second path
D2 = √(1² + 2²)
D2 = √5
For the third path
Path 3 = 1 + 1 = 2
For the fourth path
D4 = √(2² + 3²) = √13
For the fifth path
D5 = 3
Total distance path = 2√5 + √5 + 2 + √13 + 3
Total distance path ≈ 15.3
Taking the route to the left of the above route gives;
Path 1 = √(2² + 4²) = 2·√5
Path 2 = 7 + 6 = 13
Cumulative distance = 2·√5 + 13 ≈ 17.5
Hence the shortest route is the route that heads to her workplace = 17.5 blocks - 15.3 blocks = 2.5 blocks shorter
Learn more here on distance here:https://brainly.com/question/17273444
