2025 AMC 8 Problems/Problem 5
Contents
[hide]Problem
Betty drives a truck to deliver packages in a neighborhood whose street map is shown below. Betty starts at the factory (labled ) and drives to location
, then
, then
, before returning to
. What is the shortest distance, in blocks, she can drive to complete the route?
Solution 1
Each shortest possible path from to
follows the edges of the rectangle. The following path outlines a path of
units:
~ zhenghua
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 , and you should get
, which is equal to
.
~Imhappy62789
Video Solution 1
Video Solution 2 by Daily Dose of Math
Video Solution 3
https://youtu.be/VP7g-s8akMY?si=2TfegPRg-_k1DEcz&t=257 ~hsnacademy
Video Solution 4 by Thinking Feet
Video Solution 5 by Pi Academy
https://youtu.be/Iv_a3Rz725w?si=E0SI_h1XT8msWgkK
See Also
2025 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.