Can we rely on Buddha's quotes found on internet?
On the same site -- http://fakebuddhaquotes.com/better-than-a-thousand-hollow-words-is-one-word-that-brings-peace/ -- the author identifies the second quote as a slightly inaccurate or poetic translation of the 100th verse of the Dhammapada:


  Sahassamapi ce vaca
  anatthapadasamhita
  ekam atthapadam seyyo
  yam sutva upasammati.
  
  
  Better than a thousand words that are senseless and unconnected with the realization of Nibbana, is a single word of sense, if on hearing it one is calmed.
  


That too is not a literal translation into English -- http://www.tipitaka.net/tipitaka/dhp/index.php says they refer to the commentary if the literal meaning is vague or unintelligible or perplexing -- they added to the translation the phrase "unconnected with the realization of Nibbana" to clarify the difference between what they called senseless and sensible, i.e. between anattha­pada­saṃhitā and atthapadam.

Here is maybe a more literal translation:


  
  Better than a thousand useless words is one useful word, hearing which one attains peace.
  


Note that's close to the version you quoted in the OP (it's so close that I don't see why what you quoted is listed as a "fake" quote, instead of being listed among the "real" quotes).

If you still don't understand it, I recommend the commentary/story which accompanies each verse (see here), and/or reading the whole chapter of the Dhammapada (see here).