Question

select all the correct names
there are six counties listed in the table. each county is generally in the shape of a rectangle

county	length	width	population
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

which towns have the same population density?
johnson
greene
robin
clark
wade
beaver

Explanation:

Step1: Recall population - density formula

Population density $d=\frac{P}{A}$, where $P$ is population and $A$ is area. Since the shape of each county is a rectangle, $A = l\times w$ (length times width).

Step2: Calculate population - density for Johnson

$A_{Johnson}=16\times19 = 304$ square - miles, $d_{Johnson}=\frac{7600}{304}=25$ people per square - mile.

Step3: Calculate population - density for Greene

$A_{Greene}=17\times24 = 408$ square - miles, $d_{Greene}=\frac{12240}{408}=30$ people per square - mile.

Step4: Calculate population - density for Robin

$A_{Robin}=28\times30 = 840$ square - miles, $d_{Robin}=\frac{23520}{840}=28$ people per square - mile.

Step5: Calculate population - density for Clark

$A_{Clark}=15\times21 = 315$ square - miles, $d_{Clark}=\frac{9450}{315}=30$ people per square - mile.

Step6: Calculate population - density for Wade

$A_{Wade}=22\times23 = 506$ square - miles, $d_{Wade}=\frac{15180}{506}=30$ people per square - mile.

Step7: Calculate population - density for Beaver

$A_{Beaver}=20\times20 = 400$ square - miles, $d_{Beaver}=\frac{11600}{400}=29$ people per square - mile.

Answer:

Greene, Clark, Wade