The total area of the small rectangles is 2 · 11 · 13. The only possible dimensions for the large
rectangle that will fit the 7 × 7 square inside are 22 × 13 or 26 × 11. In the first case, the 1 × 18
and 2 × 16 rectangle must be parallel to the longer side. This suggests placing the 1 × 18 and
4 × 11 pieces next to each other with the 2 × 16 piece above. The rest then fills in easily. See
diagram.