Final answer:
The combined population density of the village and estate is calculated by finding the total population (3600 from the village, 800 from the estate, for a total of 4400 people) and total area (6 km^2 for the village and 2 km^2 for the estate, for a total of 8 km^2), resulting in a density of 550 people per square kilometer.
Step-by-step explanation:
The question asks to calculate the population density for a village and an estate when combined. The village has an area of 6 square kilometers and a population density of 600 people per square kilometer. Independently, the estate has a population of 800 people and a population density of 400 people per square kilometer.
First, we determine the total population of the village by multiplying the area of the village with the population density of the village:
- 6 km2 * 600 people/km2 = 3600 people
Next, we'll need to calculate the area of the estate using the population and density information provided:
- 800 people / 400 people/km2 = 2 km2
To find the combined population density of the village and estate, we add the populations of both:
- 3600 people (village) + 800 people (estate) = 4400 people
Then, we add the areas of both:
- 6 km2 (village) + 2 km2 (estate) = 8 km2
The combined population density is then calculated by dividing the total population by the total area:
- 4400 people / 8 km2 = 550 people/km2
Therefore, the combined population density of the village and the estate is 550 people per square kilometer.