This set of T-shapes was devised by Jim Kerley who asked whether 1,2,3, or 4 sets would tile a rectangle (they will probably not, search nearly complete, tilings can be found for five sets or higher).

No overlaps/gaps, and you can flip the Ts if you think that will help. I rate this as surprisingly difficult and recommend you try it by hand before moving to a computer solution. I'm not saying you won't find a tiling by hand, but I would be impressed.

The sets of T-shapes can be discerned from this valiant attempt to tile a rectangle with six sets. Each set has area 80 squares, being of sizes 4,5,6,7,8,6,8,10,12,14.

Can you place nine sets of the ten given T-shapes in a 20x36 rectangle?

This set of T-shapes was devised by Jim Kerley who asked whether 1,2,3, or 4 sets would tile a rectangle (they will probably not, search nearly complete, tilings can be found for five sets or higher).

No overlaps/gaps, and you can flip the Ts if you think that will help. I rate this as surprisingly difficult and recommend you try it by hand before moving to a computer solution. I'm not saying you won't find a tiling by hand, but I would be impressed.

The ten T-shapes are those formed by sandwiching a rectangle with width 1 or 2, and length between 2 and 6, inclusive, between two 1×1 squares in the appropriate way. Each set has a total area of 80 squares, having pieces of size 4,5,6,7,8,6,8,10,12,14.
Here is an attempt to fit six sets in a rectangle, to illustrate how the different T-shapes fit together:

Can you place nine sets of the ten given T-shapes in a 20x36 rectangle?

This set of T-shapes was devised by Jim Kerley who asked whether 1,2,3, or 4 sets would tile a rectangle (they will probably not, search nearly complete, tilings can be found for five sets or higher).

No overlaps/gaps, and you can flip the Ts if you think that will help. I rate this as surprisingly difficult and recommend you try it by hand before moving to a computer solution. I'm not saying you won't find a tiling by hand, but I would be impressed.

The sets of T-shapes can be discerned from this valiant attempt to tile a rectangle with six sets. Each set has area 80 squares, being of sizes 4,5,6,7,8,6,8,10,12,14.

This set of T-shapes was devised by Jim Kerley who asked whether 1,2,3, or 4 sets would tile a rectangle (they will probably not, search nearly complete, tilings can be found for five sets or higher).

No overlaps/gaps, and you can flip the Ts if you think that will help. I rate this as surprisingly difficult and recommend you try it by hand before moving to a computer solution. I'm not saying you won't find a tiling by hand, but I would be impressed.

The sets of T-shapes can be discerned from this valiant attempt to tile a rectangle with six sets. Each set has area 80 squares, being of sizes 4,5,6,7,8,6,8,10,12,14.

Can you place nine sets of the ten given T-shapes in a 20x36 rectangle?