Density of the population in a state is 839 persons per sq mile. Convert it into per square km, if 1 sq mile = 2.59 sq km.

Options

A. 320
B. 332
C. 334
D. 324

Answer

To convert the population density from persons per square mile to persons per square kilometer, we can follow these steps:

### Step 1: Understand the given data
We know that the density of the population is given as 839 persons per square mile. We also have the conversion factor that 1 square mile is equal to 2.59 square kilometers.

### Step 2: Set up the conversion
To convert the density from square miles to square kilometers, we can use the relationship between square miles and square kilometers. Since 1 square mile = 2.59 square kilometers, we can express the density in terms of square kilometers.

### Step 3: Calculate the density in persons per square kilometer
To find the density in persons per square kilometer, we can use the formula:
\[ \text{Density in persons per square kilometer} = \frac{\text{Density in persons per square mile}}{\text{Conversion factor (in square kilometers)}} \]
Substituting the values we have:
\[ \text{Density in persons per square kilometer} = \frac{839 \text{ persons per square mile}}{2.59 \text{ square kilometers per square mile}} \]

### Step 4: Perform the calculation
Now, we will perform the division:
\[ \text{Density in persons per square kilometer} = \frac{839}{2.59} \approx 324.73 \]

### Step 5: Round the result
Since we typically round to the nearest whole number when dealing with population density, we round 324.73 to 325.

### Final Answer
Thus, the density of the population in the state is approximately **325 persons per square kilometer**.

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