Answer:
(a) The area is 0.03 square miles
(b) The population density is 12000 people per square miles
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:
![Area = 4blocks * 3 blocks](https://img.qammunity.org/2022/formulas/mathematics/high-school/nqielqhayhc6i9nddv54cu2mlogwptktkn.png)
If
then:
![1\ block = (1)/(20) mile](https://img.qammunity.org/2022/formulas/mathematics/high-school/wyleapyltcmvq15jsdugb9zfd2gzjb2mxt.png)
![1\ block = 0.05mile](https://img.qammunity.org/2022/formulas/mathematics/high-school/oq64rghdp8eddzgczbv6fjfmhtp8z59s07.png)
So, we have:
![Area = 4blocks * 3 blocks](https://img.qammunity.org/2022/formulas/mathematics/high-school/nqielqhayhc6i9nddv54cu2mlogwptktkn.png)
![Area = 4 * 0.05 * 3 * 0.05](https://img.qammunity.org/2022/formulas/mathematics/high-school/kuophn3h6oqoi35mksw98j41hq390oz5vo.png)
![Area = 0.03mi^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/830tyiyy30s4918fceaez3ejtihd7aw9pk.png)
Solving (b): The population density of the neighborhood as people per square mile
From the question, we have:
![People = 360](https://img.qammunity.org/2022/formulas/mathematics/high-school/4qllkuodmwxgejjv22xhgsahpbjemfv6cj.png)
--- calculated
So, the population density is:
![Density = (People)/(Density)](https://img.qammunity.org/2022/formulas/mathematics/high-school/unam2l9avwzb2j7dpaz1vngwwt8hdojnw8.png)
![Density = (360)/(0.03)](https://img.qammunity.org/2022/formulas/mathematics/high-school/4ln0d508e4w10lfvjzq0u26ak25k21ikvt.png)
![Density = 12000](https://img.qammunity.org/2022/formulas/mathematics/high-school/t87xc7zojhzpajhidjzqj14e6gk314hw2q.png)