OK, Time for additional information.
Contact patch size? Sorry, it is not the same at the same pressure. Wider tires have larger contact patches:
Fact or Fiction? Tire contact patch and air pressure.
It's a common myth. but you can NOT calculate the size of the footprint, if you know the pressure and the load. The physics involved is more complicated than that.
Also, rolling resistance is only slightly related to tire size - but in general, bigger is better.
But more important to rolling resistance is the tire itself. Not just brand, but make and model.
Here's some of what is going on:
Barry's Tire Tech
Briefly: There is a technology triangle involving treadwear, traction, and rolling resistance. In order to get improvements in one area, one (or more) of the other areas has to be sacrificed. It's all about the compromise. Careful selection of tires can yield the compromise that works for you.