RGB LED Matrix spread over 400 square feet (43 square meters)

What would be the viewing distance and viewing angle or in other words would the LED panel be installed vertically ?
What are the viewing environment be dark and indoors or outside in bright daylight ?

The above at a minimum will determine what output your light sources will need to generate.

Given the size of the project one could easily assume that you won't get away with small 20mA LEDs but need something that has more light output. Of course your project is technically feasible. That is really not the question!

The question really is what are your time and budget constraints ?