Assume that we need just the following Martian resources for our colony:
- O2
- N2
- H2O
- Regolith for radiation shielding
- Regolith for construction
- Regolith for printing tools
- Martian compounds for rocket fuel
From The resources of Mars for human settlement - Meyer TR and McKay CP
How much surface area do we need on Mars to establish collection of all these resources for a colony of 7 people (max capacity of the Dragon)?
Other things to consider:
- Habitat
- Food production
Variations in approach
SF pointed out a variety of assumptions:
Assumptions: water recovered from regolith or air? Oxygen by distillation of CO2 or cyanobacteria farm? Power solar or nuclear? Surface/subsurface shelter or cave?
Out of the plausible options that have been presented in scholarly/technical discourse, you should assume that which requires the most surface area. If you wish, you can also specify the lower surface area requirements of the alternatives.
Landing site for deliveries from Earth (no need to estimate for launch facilities)