Question

Polygon JKLMNP represents a bus route. Each grid square represents 9 square miles. What is the shortest distance, in miles, from station P to station L using the bus route?

Answer 1

The shortest distance, in miles, from station P to station L using the bus route is 27 miles

The possible routes from station P to station L

The possible routes from P to L are:

1. PJKL
2. PNML

From the graph that represents the distance between the stations, we have:

$PJKL = PJ + JK + KL$

and

$PNML = PN + NM+ML$

So, we have:

$PJKL = 3 + 3 + 5$

$PJKL = 11$

$PNML = 2 + 2+5$

$PNML = 9$

By comparison:

9 is less than 11

So, the shortest route is: PNML

Each grid is 3 miles long

So, we have:

$PNML = 9 * 3$

$PNML = 27$

Hence, the shortest distance is 27 miles

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