Tilings of small defective squares

To start with, here are several tilings of simple defective squares

+--+        +-----+--+
|  |        |     |  |
|  +--+     |  +--+  +--+
|     |     |  |  |     |
+-----+     +--+  +--+--+
  2x2       |  |     |  |
            |  +--+--+  +
            |     |     |  
            +-----+-----+
                 4x4
+-----+-----+
|     |     |
+--+  |  +--+--+
|  |  |  |     |
|  +--+--+--+  |
|     |     |  |
+--+--+--+  +--+
|  |     |  |  |
|  +--+  +--+  |
|     |  |     |
+-----+--+-----+
      5x5