Additional Prompts

The following alterations can be used depending on your learning objectives:

1. Change the length of the wire for each student or group of students.
2. Replace the length of the wire with a parameter $L$.
3. Instruct students to find the minimum combined area instead of the maximum area.
4. Use the wire to form a circle and an equilateral triangle with minimized combined area.
5. Use the wire to form a square and an equilateral triangle with a minimized combined area.
6. Use the wire to form a circle and another regular polygon with a minimized combined area.