2025 AMC 8

Complete problem set with solutions and individual problem pages

Problem 5 Easy

Betty drives a truck to deliver packages in a neighborhood whose street map is shown below. Betty starts at the factory (labeled F) and drives to location A, then B, then C, before returning to F. What is the shortest distance, in blocks, she can drive to complete the route?

  • A.

    20

  • B.

    22

  • C.

    24

  • D.

    26

  • E.

    28

Answer:C

Solution 1

Each shortest possible path from A to B follows the edges of the rectangle. The following path outlines a path of \boxed{\textbf{(C)}\ 24} units:

Solution 2

We can find the shortest distance using a line diagonally from one point to the other, creating a sort of slope, then find the sum of rise and run of the slope, which happens to be the shortest distance, repeat this process until you get back to Point F, and you should get 2 + 1 + 3 + 7 + 4 + 2 + 1 + 4, which is equal to \boxed{\textbf{(C)}\ 24}.

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