Suppose you have a grid of squares that has even dimensions, with at least one dimension greater than or equal to 4 squares, and from one corner you remove a 1x4 rectangle of those squares
□□□□□□ □□□□□□ □□□□□□ XXXX□□
Can you fill in that grid using as many copies of the following shapes as you like?
(Each shape can be rotated any of the four ways, and can be flipped/mirrored)
If you can, provide an example solution. If you cannot, then you should provide a reasonable argument to why it can't be done.