Question

using the paths shown, how long is the shortest route from hillsboro to weston? hillsboro 13.9 km somerville 7.3 km 8.6 km 13.8 km lakeside weston \boxed{} km submit

Explanation:

Step1: Identify possible routes

There are two possible routes from Hillsboro to Weston:

1. Hillsboro -> Somerville -> Weston: Distance = \(13.9 + 13.8\)
2. Hillsboro -> Lakeside -> Somerville -> Weston: Distance = \(7.3 + 8.6 + 13.8\)

Step2: Calculate distance of first route

For the first route: \(13.9 + 13.8 = 27.7\) km

Step3: Calculate distance of second route

For the second route: \(7.3 + 8.6 + 13.8 = 7.3 + 22.4 = 29.7\) km

Step4: Compare the two distances

Since \(27.7 < 29.7\), the shortest route is the first one.

Answer:

27.7