Newbie question: I was given an old, very small sailboat (just 8' or
9'). The hull was in a poor state but the sail and mast were in good
condition. I cleaned the hull and repainted the boat and it now is
seaworthy. Well, almost seaworthy. The people giving it away told me
that two things were missing and they could no longer find them: the
centerboard and the rudder.

I figured I could probably build these things so I agreed to take the
boat. I have yet to build a basic centerboard and rudder for it but I
also realized that the boat does not have a boom! Is it possible
that, given that it is such a small boat, it may not require one? I
cannot figure out if they simply forgot to give me the boom
(unfortunately I cannot contact them anymore), if they didn't have a
boom anymore or this type of small boat simply doesn't need one...

If it does require one, how difficult would it be to make a simple one
and what material (wood, metal, etc.) would be most appropriate.

Keep in mind that I am not trying to turn this thing into a competition
sailboat. Just want something to float around and have something to
play around with on a windy day (when it is too wavy to waterski behind
my powerboat). Cheers! Andre