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Bebras 2019 - Level 1 Question 2

BEBRAS · Bebras 2019 - Level 1

Question 2

A beaver is going for a morning run. The beaver plans to visit locations 1, 2, 3 and 4, not necessarily in that order, along the grid lines in the park shown below. Each grid square has side length 100 meters.
Question illustration
The grey muddy areas in the park cannot be crossed. What is the shortest distance, in meters, that the beaver can run to visit all four locations?
  1. 1200
  2. 1000
  3. 800
  4. 600