There should be a hidden condition in the title, and there is a tree on each corner.

To plant a tree with the greatest distance, the greatest distance is the greatest common divisor of 532 and 308.

That's 28

The land perimeter is (532+308)×2= 1680.

Because the total distance is closed

∴ What is the number of trees that can be directly planted?

1680÷28=60 trees

2、

When there are 208 people living in the dormitory, there are 4× 2 = 8 empty bunks in the dormitory.

When 350 students checked in, there were two empty bunks in the dormitory.

Then the greatest common divisor of 208+8 = 2 16 and 350+2 = 352 is 8, so each dormitory has at most 8 bunks.

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