You would still need a long length of ariel cable as input for the booster... then a short length for output to your TV. But to be honest, CoAx cable (that they use for ariels) can run for 100meters - and surely your room isn't that big
without major signal loss, if you have good quality stuff...
We use one in our house, as the ariel cable is split between 2 TV sets and works rather well.