Jorge walks along a rectangular path, where 12 trees are arranged, playing a game of touching each tree during his walk. First, he touches the tree at the corner, marked with $P$ in the figure, and walks 32 meters in the same direction of the path; then he turns back 18 meters and returns to the initial direction for another 22 meters. The distance between two consecutive trees is $5 \mathrm{~m}$. How many trees did he touch?

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-017.jpg?height=206&width=331&top_left_y=2421&top_left_x=1508)
Remembering that the distance between the trees along the path is $5 \mathrm{~m}$, we illustrate the direction of Jorge's journey in the figures.
![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-063.jpg?height=236&width=1532&top_left_y=367&top_left_x=296)

(a) Walking initially $32 \mathrm{~m}$, he touches seven trees, stopping $2 \mathrm{~m}$ after the last tree he touched.

(b) Returning $18 \mathrm{~m}$, he touches four trees, stopping $1 \mathrm{~m}$ after the last tree he touched.

(c) Returning $22 \mathrm{~m}$, he touches five trees, stopping $1 \mathrm{~m}$ after the last tree he touched.

Thus, Jorge touched $7+4+5=16$ trees.