I just got a new monitor. The native resolution seems to be 1920x1080 (16:9). But when I set that, Ubuntu occupies only part of the screen, leaving a black border around. When I try setting another resolution like 1680 x 1050 (16:10), it fills the entire screen. But perhaps its a bit stretched out?
closed as too localized by Eliah Kagan, Eric Carvalho, RolandiXor♦, hhlp, LnxSlck Feb 12 at 14:36
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Maybe it's a monitor issue and not a software issue.
Check the monitor user manual http://www.manualowl.com/m/Samsung/S22A350H/Manual/193348 , and more specifically the section "3-1 Setting the Optimal resolution"