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using the paths shown, how long is the shortest route from newton to lo…

Question

using the paths shown, how long is the shortest route from newton to lowell? newton campbell 10.8 mi 5 mi 4.7 mi brookfield 8.7 mi lowell

Explanation:

Step1: Identify possible routes

Route 1: Newton - Brookfield - Lowell with length $10.8 + 8.7$; Route 2: Newton - Brookfield - Campbell - Lowell with length $10.8+5 + 4.7$.

Step2: Calculate Route 1 length

$10.8+8.7=19.5$ mi

Step3: Calculate Route 2 length

$10.8 + 5+4.7=20.5$ mi

Step4: Compare lengths

Since $19.5<20.5$, Route 1 is shorter.

Answer:

$19.5$