Dear Sirs:
Wing area is not as important as wing geometry in creating lift.
An aircraft with high aspect area wings (that is, long and thin, like a glider for instance) will have much more lift (and less drag) than one with delta wings of the same surface area.
Those same delta wings will also experience more drag in the low-to-medium subsonic speed range.
However things change dramatically in the high-subsonic, transonic and supersonic speed ranges - here is where the swept and delta wings really come into their own.
The sweep (and its design cousin the delta) are attempts to reduce the effects of compressibility and shock waves which tend to break the wing.
They also induce beneficial vortices that help generate lift at high angles of attack.
The swept wings of the F-16 (which could also be viewed as a severely-clipped delta) probably generate more lift per unit area than the more conventional inverted-gull wing deltas on the J-10.
That being said, the short take-off runs and steep climbs performed by the J-10, (albeit in a 'light' condition for the airshow) were done with a minimum of control surface movement or deflection, clearly demonstrating the airframes excellent aerodynamic properties - this aircraft is a true interceptor.