Sure, let's begin solving the problem step by step.
### (a) Determine the population density for each state
The population density is defined as the number of people per square kilometer:
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]
#### Population Density of State A
- Population of State A: 760 lakh
- Area of State A: 4 lakh km²
[tex]\[ \text{Density of State A} = \frac{760 \text{ lakh}}{4 \text{ lakh km}^2} = 190 \text{ people per km}^2 \][/tex]
#### Population Density of State B
- Population of State B: 1660 lakh
- Area of State B: 2 lakh km²
[tex]\[ \text{Density of State B} = \frac{1660 \text{ lakh}}{2 \text{ lakh km}^2} = 830 \text{ people per km}^2 \][/tex]
So, the population densities are:
- State A: 190 people per km²
- State B: 830 people per km²
### (b) Determine which state is more populated in terms of population density
To determine which state is more populated in terms of population density, we compare the two densities obtained:
- State A: 190 people per km²
- State B: 830 people per km²
Since 830 people per km² (State B) is greater than 190 people per km² (State A),
State B is more densely populated than State A.
### Summary:
(a) Population density:
- State A: 190 people per km²
- State B: 830 people per km²
(b) State B is more populated in terms of population density.
