Question

lakeland county consists of the north and south zone. the north zone has an area of 48 square miles and a population density of 150 people per square mile. the south zone has an area of 52 square miles and a population density of 225 people per square mile. what is the population density, in people per square mile, for all of lakeland county? a 186 b 189 c 375 d 7,200

Explanation:

Step1: Calculate the population of the North Zone

Population = Area × Population density. For the North Zone, Area = 48 square miles and Population density = 150 people per square mile. So, Population of North Zone \(=48\times150 = 7200\) people.

Step2: Calculate the population of the South Zone

For the South Zone, Area = 52 square miles and Population density = 225 people per square mile. So, Population of South Zone \(=52\times225=11700\) people.

Step3: Calculate the total population and total area of Lakeland County

Total population \(=7200 + 11700=18900\) people. Total area \(=48 + 52 = 100\) square miles.

Step4: Calculate the population density of Lakeland County

Population density \(=\frac{\text{Total population}}{\text{Total area}}\). So, Population density \(=\frac{18900}{100}=189\) people per square mile.

Answer:

B. 189