In 2016, the city of Rio de Janeiro had a population density of [tex][tex]$5377 \frac{\text{people}}{km^2}$[/tex][/tex].

What was the population density of Rio de Janeiro in people per square meter?
[tex][tex]$\frac{\text{people}}{m^2}$[/tex][/tex]



Answer :

To determine the population density of Rio de Janeiro in people per square meter, given that its population density is 5377 people per square kilometer, follow these steps:

1. Understand the relationship between square kilometers and square meters:
- There are 1,000,000 square meters in one square kilometer. This is because [tex]\(1 \text{ km}^2 = (1,000 \text{ meters})^2 = 1,000,000 \text{ m}^2\)[/tex].

2. Convert the given population density from square kilometers to square meters:
- The given population density is [tex]\(5377 \frac{\text{people}}{\text{km}^2}\)[/tex].
- To find the population density per square meter, divide the population density per square kilometer by the number of square meters in a square kilometer:
[tex]\[ \text{Population density (people per } m^2\text{)} = \frac{5377 \text{ people}}{1,000,000 \text{ m}^2} \][/tex]

3. Perform the division:
- [tex]\( \frac{5377}{1,000,000} = 0.005377 \text{ people per m}^2 \)[/tex].

So, the population density of Rio de Janeiro in 2016, in people per square meter, was [tex]\(0.005377 \text{ people per m}^2\)[/tex].