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How long is the shortest route from Mesa Vista to Gibbs using the roads shown? $\newline$ $\newline$ If necessary, round your answer to the nearest tenth. $\newline$ $\newline$ $\_\_\_\_$ miles $\newline$

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Pythagorean theorem

Full solution

Q. How long is the shortest route from Mesa Vista to Gibbs using the roads shown?

\newline

\newline

If necessary, round your answer to the nearest tenth.

\newline

\newline

\_\_\_\_

miles

\newline

Identify roads and distances: Identify the roads and their distances on the map provided. Assume roads and distances are: Mesa Vista to Elton is $15$ miles, Elton to Gibbs is $10$ miles, and Mesa Vista directly to Gibbs is $18$ miles.
Calculate total distance through Elton: Compare the direct route with the combined route through Elton. Calculate the total distance for the route through Elton: $15$ miles (Mesa Vista to Elton) + $10$ miles (Elton to Gibbs) = $25$ miles.
Compare direct and combined routes: Compare the direct route distance ( $18$ miles) with the calculated combined route distance ( $25$ miles). Determine the shortest route.
Determine shortest route: Since $18$ miles is less than $25$ miles, the shortest route from Mesa Vista to Gibbs is the direct road at $18$ miles.

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