Note that
- 36=1·36;
- 36=2·18;
- 36=3·12;
- 36=4·9;
- 36=6·6.
If neither (length and width) is divide by 6, then cases 1, 2, 3 and 5 are extra, because
- 36:6=6 (is divide by 6);
- 18:6=3 (is divide by 6);
- 12:6=2 (is divide by 6);
- 6:6=1 (is divide by 6).
The only possible dimensions are: width - 4 cm and length - 9 cm.
Then the perimeter is
cm.
Answer: 26 cm.