Could anyone tell me how a 2x2 room is read in Turkish? My try is: "iki kere iki´lik bir oda". Is it correct?

I think it is "ikiye iki"

2X2 (iki çarpı iki)

it depends what you want to say,

if you are talking about the dimensions of the room than you should use : "2 ye 2" or "2 metreye 2 metre" -I assume that 2 is for meters -

iki çarpı iki / 2 çarpı 2 means : 2 times 2

I hope this helps