2 × 7 (smallest rectangle)
11 × 49
13 × 35
19 × 21 (smallest odd rectangle)
complete
smallest rectangle: 2 × 7
smallest odd rectangle: 19 × 21
The smallest odd rectangle was given by Marshall [1, Figure 13].
Reference
[1] William Rex Marshall,
Packing
Rectangles with Congruent Polyominoes,
Journal of Combinatorial Theory, Series A 77 (1997),
no. 2, pp. 181-192.
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Updated August 25, 2011.