My family is asking me how you can get different areas with the same circumference. (for example, the classic fence problem)... and why different dimensions get different areas.
How do I explain this?
If you have a square, with 16 meters of fencing (4 on each side), you will get an area of 16 m^2.
But if you stretch it, and get a 7m x 1m rectangle; still have 16 meters of fencing, but now the area is 7m^2.