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Mrs. Lavender, a saleswoman based in Exeter, has to visit the local towns shown on the map to sell cosmetics. The numbers on the roads give the distance in miles between the towns. What is the shortest route she can take which will both start and end at Exeter? Please enter your answer as a number only. 

 

please explain

 Mar 4, 2021
 #1
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The shortest way is the perimeter, which is $23+16+11+8+24+10=\boxed{92}$

 Mar 4, 2021
 #2
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If she can take the same path again then the shortest path should be to go from

Exeter to Cullompton,

13

Cullompton to Tiverton,

13+8

Tiverton to Crediton,

13+8+11

 Crediton to Exeter,

13+8+11+8

Exeter to Exmouth,

13+8+11+8+10

and back to Exeter.

13+8+11+8+10+10=60 miles

 Mar 4, 2021

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