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Answer :
To find the population density of a city, we use the formula:
[tex]\text{Population Density} = \frac{\text{Population}}{\text{Area}}[/tex]
Let's calculate the population density for each city given:
Gainesville, FL:
- Population: 148,225
- Area: 64.54 square miles
[tex]\text{Population Density of Gainesville} = \frac{148,225}{64.54} \approx 2,296.72 \text{ people per square mile}[/tex]
Fort Lauderdale, FL:
- Population: 183,412
- Area: 36.3 square miles
[tex]\text{Population Density of Fort Lauderdale} = \frac{183,412}{36.3} \approx 5,054.29 \text{ people per square mile}[/tex]
Now, comparing the two densities:
- Gainesville has a population density of approximately 2,296.72 people per square mile.
- Fort Lauderdale has a higher population density of approximately 5,054.29 people per square mile.
Therefore, Gainesville, FL is the city with the smallest population density.
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