Question

Type the correct answer in the box. Use numerals instead of words.The shape of a township with a population of 12,620 people is shown.What is the population density to the nearest tenth?The population density is approximately________ people per square mile.

Answer 1

SOLUTION

Before we find the population density of the town, let us find the area of the town in square miles

The diagram below would be helpful

From the diagram, we have separated the area of the land into a rectangle and a square.

The rectangle has a length of 40 + 25 = 65 mi

and a width of 60 - 25 = 35 mi

The area of the rectangle is

$\begin{gathered} A=l\times w \\ A=65\times35 \\ A=2275m^2 \end{gathered}$

The square has an area of

$25\times25=625mi^2$

Area of the land becomes

$2275+625=2900mi^2$

Population density is calculated as

$\begin{gathered} \frac{population}{area\text{ of land}} \\ =\frac{12,620}{2900} \\ =4.3517241 \\ =4.4\text{ } \end{gathered}$

Hence the answer is 4.4 people per square mile