Can different rectangles have the same area and perimeter?

It's very easy for two rectangles to have the same area and different perimeters,

or the same perimeter and different areas. In either case, it would be obvious to

you when you see them that there's something different about them, and they

would not fit one on top of the other.

But if two rectangles have the same area and the same perimeter, then to look at them

you'd swear that they're the same rectangle, and one could be laid down on the other

and fit exactly.