Respuesta :
The answer is 59,411.76 square miles
The population density is 170 people per square mile. In other words, in 1 square mile, there are 170 people. So, the question is in what area there are 10,100,000 people. Make a proportion:
170 people : 1 square mile = 10,100,000 people : x
After crossing the products:
x = 10,100,000 people * 1 square mile : 170 people
x = 59,411.76 square miles
The population density is 170 people per square mile. In other words, in 1 square mile, there are 170 people. So, the question is in what area there are 10,100,000 people. Make a proportion:
170 people : 1 square mile = 10,100,000 people : x
After crossing the products:
x = 10,100,000 people * 1 square mile : 170 people
x = 59,411.76 square miles
Answer:
[tex]\text{Total area}=59,400\ mi^2[/tex]
Step-by-step explanation:
Given that,
Population density of Georgia = 170 people per square mile
Number of people live in Georgia = 10,100,000
We know that,
[tex]\text{Population density}=\dfrac{\text{Number of people}}{\text{Total area}}[/tex]
[tex]\Rightarrow \text{Total area}=\dfrac{\text{Number of people}}{\text{Population density}}[/tex]
Putting the values,
[tex]\Rightarrow \text{Total area}=\dfrac{10,100,000}{170}=59411\approx 59400\ mi^2[/tex]