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5. In 2005, Connecticut had a population density of 741 and a population of 3,590,886. How big, in square miles, is Connecticut?

Sagot :

To determine the size of Connecticut in square miles given its population density and population, follow these steps:

1. Understand the given information:
- Population Density: 741 people per square mile.
- Population: 3,590,886 people.

2. Recall the formula for population density:
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]

3. Rearrange the formula to solve for Area:
[tex]\[ \text{Area} = \frac{\text{Population}}{\text{Population Density}} \][/tex]

4. Substitute the given values into the formula:
[tex]\[ \text{Area} = \frac{3,590,886 \text{ people}}{741 \text{ people per square mile}} \][/tex]

5. Calculate the area:
[tex]\[ \text{Area} = 4846.0 \text{ square miles} \][/tex]

Thus, Connecticut is 4846.0 square miles in size.