You have the following and and tiles:
How many ways can you use them to tile a grid?
Assumptions :
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Forget the colors for now...
For the 1x2 tiles they can be oriented:
Total: 11 ways
Now add in the colors:
For each of the above combinations, the colors on the squares can be exchanged (x2) and the colors on the rectangles can be exchanged (x2).
Total = 1 1 ⋅ 2 ⋅ 2 = 4 4 ways