Its all about pressure, floors are rated in the amount of pressure they can take. Your tank has a massive foot print, for not that much weight. Lets say the weight of your tank with stand and rocks and everything is about 2000lbs, the foot print of your tank is (120" x 20") 2400"^2. So the load on your floor is 0.83 Psi, which is not very much at all.
My tall 190 Gallon tank has a load of about 3 psi. So I had an engineer come in and he said in my case it was required, and recommended a soultion.
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