Please look at the links that Astronuc provided. (The second link is the same site I've been linking to.) Both of them will make excellent references for you.
Note that one wavelength = two "loops" (or two anti-nodes). In your problem, you see three loops. If 2 loops equal 1 wavelength, but 3 loops equal 2 m--what must be the wavelength? Set up a ratio and solve for the wavelength.