No, actually that sounds perfect. My room is 13 X 24 with them and I am sure they would work well in some smaller rooms also.
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No, the room size will not be a problem (my room is about the same size). But the amps won't cut it, I'm afraid. You need more power than 160 W/side. I run my N802s with VTL 450s and I need every last drop of power.
The N802s are very power hungry, they come alive at only louder listening levels, and a larger room also demands more power.
I tend to agree with Hagabet, your amps may not be the best choice for the 802 speakers. Bridged amps suit high impedance, low sensitive type speakers. A bridging confirguiration doubles the power, but each amp sees a 8 ohm load as 4 ohm. Although the 802s are nominally rated at 8 ohms their specs indicate they do drop to a minimum of 3 ohms at certain freqs. This means at certain freqs each of your amps will be driving a load of 1.5 ohms! This high current demand may stress your amps, particularly when operating at high volumes.