Question

using the paths shown, how long is the shortest route from danville to kensington? danville oakdale 9.2 km 4 km sparrowtown 8.2 km 11.5 km kensington

Explanation:

Step1: Identify possible routes

There are two possible routes from Danville to Kensington: Danville - Oakdale - Kensington and Danville - Oakdale - Sparrowtown - Kensington.

Step2: Calculate length of first route

The length of the Danville - Oakdale - Kensington route is $9.2 + 11.5=20.7$ km.

Step3: Calculate length of second route

The length of the Danville - Oakdale - Sparrowtown - Kensington route is $9.2+4 + 8.2=21.4$ km.

Step4: Compare lengths

Since $20.7<21.4$, the shortest route is Danville - Oakdale - Kensington.

Answer:

$20.7$