365. The lengths of two parallel sides of a rectangle are 1 cm. In addition, it is known that it can be divided into four rectangles by two perpendicular lines, three of which have an area of no less than $1 \mathrm{~cm}^{2}$, and the fourth no less than $2 \mathrm{~cm}^{2}$. What is the minimum length of the other two sides of the rectangle for this to be possible?
365. Answer: $3+2 \sqrt{2}$. If $S_{1}, S_{2}, S_{3}, S_{4}$ are the areas of rectangles numbered clockwise, then $S_{1} S_{8}=$ $=S_{2} S_{4} \geqslant 2$, and $S_{1}+S_{2}+S_{3}+S_{4} \geqslant 3+2 \sqrt{2}$.