1:
AAAAAA
AAAAAA
CBBBBD
CBBBBD
EEFFGG

2:
AAAAAAAAA
AAAAAAAAA
AAAAAAAAA
BBCCDEEFF
BBCCDEEFF
BBCCDEEFF
BBCCGEEFF
BBCCGEEFF
BBCCGEEFF

L.T. Pebody
---------------------------------------------
Ed,

I think, these puzzles have many solutions. 
See two of them below.

(Please view in a
fixed-width font
such as Courier)

Domino
  3      3    2
+-----+-----+---+
|     |     |   | 
|     |     |   |
|     |     |   |
|     |     +---+ 1
|     |     +---+ 1
+-----+-+---+---+ 
|       |       | 2
+-------+-------+

I-Triomino
  3                 
+----+-----------+
|    |           | 2
|    +-----------+
|    |           | 2
|    +-----------+
|    |           | 2
|    +-----------+
|    |           | 2
|    +-----+-----+ 1
+----+-----+-----+ 

Regards,

Igor Krivokon
-----------------------------------------------
Got the first one:

AAABBCCC
AAABBCCC
AAABBCCC
AAABBCCC
AAADECCC
AAADECCC
FFFFGGGG
FFFFGGGG

The trominoes:

AAABBBCCC
AAADDDDDD
AAADDDDDD
AAAEEFFGG
AAAEEFFGG
AAAEEFFGG
AAAEEFFGG
AAAEEFFGG
AAAEEFFGG

Joseph DeVincentis
-----------------------------------------------
Ed: 

I've dissected a square into seven dominoes of size 1 (x5), 2 (x1), and 3 
(x1).  Also into seven tromnioes of size 1 (x2), 2 (x4), and 3 (x1).  These 
are an interesting variation to the usual dissection into square tiles.  Have 
you gone further than this or found something especially difficult?

Bob Wainwright
----------------------------------------------