2004 General, part 2 #7
Source:
March 8, 2024
algebrageometry
Problem Statement
Farmer John is grazing his cows at the origin. There is a river that runs east to west feet north of the origin. The barn is feet to the south and feet to the east of the origin. Farmer John leads his cows to the river to take a swim, then the cows leave the river from the same place they entered and Farmer John leads them to the barn. He does this using the shortest path possible, and the total distance he travels is feet. Find the value of .