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2007 AMC 8 Question 22

AMC8 · 2007 AMC 8

Question 22

A lemming sits at a corner of a square with side length $10$ meters. The lemming runs $6.2$ meters along a diagonal toward the opposite corner. It stops, makes a $90^{\circ}$ right turn and runs $2$ more meters. A scientist measures the shortest distance between the lemming and each side of the square. What is the average of these four distances in meters?
  1. $2$
  2. $4.5$
  3. $5$
  4. $6.2$
  5. $7$