1. Can five identical rectangles with a perimeter of 10 be arranged to form one rectangle with a perimeter of 22?
Answer. Yes. Solution. You can arrange 5 rectangles of size $1.5 \times 3.5$ vertically in a row. Another example: place 3 rectangles of size $3 \times 2$ vertically, and below them, arrange two such rectangles horizontally. There are probably other examples as well.