What is the smallest rectangle which can be made by using jigsaw pieces of these two shapes only?
What is the next smallest such rectangle?
What rectangles are possible using these shapes only?
(Note: You can use no matter how many of these two jigsaw pieces as you see fit.)
There is more to this jigsaw than first meets the eye. The smallest possible rectangle is 6 × 3 as shown here,
and by using this as a basic building block an infinite sequence of larger rectangles can easily be generated. The next smallest rectangle is a 12 × 3 or a 6 × 6 formed by using two of the above rectangles, but the third order of size is not a 9 × 6 or 18 × 3 but a 10 × 5 as shown.