The area of a rectangle is (length) times (width). So you have to find a pair of numbers that multiply to produce 6 .
If you only stick to whole numbers, then I don't think there are three different ones. You're going to need one pair that multiply to 6 and are not both whole numbers.
After I explain how to solve problems, I hate to give answers. But with all due respect, I have a feeling that I haven't nudged you enough yet for you to use my explanation to find the answers on your own. So here are some answers:
1 and 6 2 and 3
and sets of dimensions that are not both whole numbers, like
0.6 and 10 1.2 and 5 1.25 and 4.8 1.5 and 4 2.4 and 2.5