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.