Answer:
(a) The area is 0.03 square miles
(b) The population density is 12000 people per square miles
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Area of Orchid Hill (in square miles)
The dimension of the neighborhood is 4 blocks by 3 blocks
Since each block are of the same dimensions
The area is calculated as:
[tex]Area = 4blocks * 3 blocks[/tex]
If [tex]20\ blocks = 1\ mile[/tex] then:
[tex]1\ block = \frac{1}{20} mile[/tex]
[tex]1\ block = 0.05mile[/tex]
So, we have:
[tex]Area = 4blocks * 3 blocks[/tex]
[tex]Area = 4 * 0.05 * 3 * 0.05[/tex]
[tex]Area = 0.03mi^2[/tex]
Solving (b): The population density of the neighborhood as people per square mile
From the question, we have:
[tex]People = 360[/tex]
[tex]Area = 0.03mi^2[/tex] --- calculated
So, the population density is:
[tex]Density = \frac{People}{Density}[/tex]
[tex]Density = \frac{360}{0.03}[/tex]
[tex]Density = 12000[/tex]
