Colorado has a population of 5,268,367. it's territory can be modeled as a rectangle approximately 280mi by 380mi. find the approximate population density of colorado.

First, we determine the area of the Colorado by multiplying the given dimensions. 
                        Area = (280 mi)(380 mi) = 106,400 mi²
The population density is calculated by dividing the population by the area.
             Population density = (5,268,367 people) / (106,400 mi²)
                                         = 49.5 people/mi²
The population density is approximately 50 people/mi².