Question

the population density is approximately ___ people per square mile?

Answer 1

Answer:

Concept:

The formula for the population density is given below as

$\text{Population density=}\frac{population}{\text{area}}$

The population given in the question is

$\text{population =12,620}$

Step 1:

To figure out the area of the shape, we will divide the shape into two parts as given in the image below

The area of part A will be calculated below as

$\begin{gathered} A_a=l\times b \\ l=40mi+25mi=65mi \\ b=60mi-25mi=35mi \\ A_a=65mi\times35mi=2275mi^2 \end{gathered}$

The area of part B will be calculated below as

$\begin{gathered} A_B=l\times b \\ l=25mi \\ b=25mi \\ A_B=l\times b=25mi\times25mi=625mi^2 \end{gathered}$

Hence,

The total area of the township will be

$\begin{gathered} A=A_A+A_B \\ A=2275mi^2+625mi^2 \\ A=2900mi^2 \end{gathered}$

By substituting the values in the formula below, we will have

$\begin{gathered} \text{Population density=}\frac{population}{\text{area}} \\ \text{Population density}=\frac{12,620\text{people}}{2900mi^2} \\ \text{Population density}=4.352 \\ \text{Population density}\approx(nearest\text{ tenth)} \\ \text{Population density}=4.4\text{ } \end{gathered}$

Hence,

The population density is approximately 4.4 people per square mile