Folklore

The length of a rectangular plot is 4 meters, and the width is 1 meter.

Can three trees be planted on it so that the distance between any two trees is at least 2.5 meters?
Let there be three trees growing on the plot $A B C D$. We will divide it into two rectangles of size $2 \times 1$ (see figure).

![](https://cdn.mathpix.com/cropped/2024_05_06_b41405b02b6e888d68cag-02.jpg?height=200&width=535&top_left_y=1558&top_left_x=773)

In one of these rectangles, at least two trees grow. The distance between them does not exceed the length of the diagonal of the corresponding rectangle, but its length is $\sqrt{5}<2.5$.

## Answer

No.