Select all the correct names from the table below. Which towns have the same population density?
| County | Length | Width | Population |
| ------- | -------- | -------- | ---------- |
| Johnson | 16 miles | 19 miles | 7,600 |
| Greene | 17 miles | 24 miles | 12,240 |
| Robin | 28 miles | 30 miles | 23,520 |
| Clark | 15 miles | 21 miles | 9,450 |
| Wade | 22 miles | 23 miles | 15,180 |
| Beaver | 20 miles | 20 miles | 11,600 |
Johnson
Greene
Robin
Clark
Wade
Beaver
Answer (2)
Calculate the area of each county by multiplying its length and width.
Calculate the population density of each county by dividing its population by its area.
Compare the population densities of all counties.
Identify that Greene, Clark, and Wade have the same population density: G ree n e , Cl a r k , Wa d e .
Explanation
Calculate the area of each county First, we need to calculate the area of each county. Since each county is rectangular, the area is simply the product of its length and width.
Calculate the population density of each county Next, we calculate the population density for each county. The population density is the population divided by the area.
Compare population densities Now, we compare the population densities to find counties with the same density.
Johnson County The area of Johnson is 16 × 19 = 304 square miles. The population density is 304 7600 = 25 people per square mile.
Greene County The area of Greene is 17 × 24 = 408 square miles. The population density is 408 12240 = 30 people per square mile.
Robin County The area of Robin is 28 × 30 = 840 square miles. The population density is 840 23520 = 28 people per square mile.
Clark County The area of Clark is 15 × 21 = 315 square miles. The population density is 315 9450 = 30 people per square mile.
Wade County The area of Wade is 22 × 23 = 506 square miles. The population density is 506 15180 = 30 people per square mile.
Beaver County The area of Beaver is 20 × 20 = 400 square miles. The population density is 400 11600 = 29 people per square mile.
Identify counties with the same density Comparing the population densities, we find that Greene, Clark, and Wade counties all have a population density of 30 people per square mile.
Final Answer Therefore, the counties with the same population density are Greene, Clark, and Wade.
Examples
Understanding population density is crucial in urban planning. For instance, if a city knows the population density of different areas, it can better allocate resources like schools, hospitals, and public transportation. If three towns, Greene, Clark, and Wade, have the same population density of 30 people per square mile, city planners can anticipate similar demands for services in these areas, ensuring equitable distribution of resources. This proactive approach helps in creating sustainable and livable communities.
The towns with the same population density are Greene, Clark, and Wade, each with a density of approximately 30 people per square mile. This was determined by calculating their areas and population densities. Understanding this can help in urban planning and resource distribution.
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