Question

using the paths shown, how long is the shortest route from middletown to allenville? dayton 20.1 mi allenville 13.8 mi 11.3 mi 10.8 mi stamford middletown ​ mi submit

Explanation:

Step1: Identify possible routes

There are two possible routes from Middletown to Allenville:

1. Middletown -> Dayton -> Allenville: Distance = \(13.8 + 20.1\)
2. Middletown -> Dayton -> Stamford -> Allenville: Distance = \(13.8 + 11.3 + 10.8\)

Step2: Calculate distance of first route

For the first route: \(13.8 + 20.1 = 33.9\) miles.

Step3: Calculate distance of second route

For the second route: \(13.8 + 11.3 + 10.8 = 13.8 + 22.1 = 35.9\) miles.

Step4: Compare the two distances

Compare \(33.9\) and \(35.9\). Since \(33.9 < 35.9\), the shortest route is the first one.

Answer:

33.9