type the correct answer in the box. use numerals instead of words.\nthe shape of a township with a…

type the correct answer in the box. use numerals instead of words.\nthe shape of a township with a population of 12,620 people is shown.\nwhat is the population density to the nearest tenth?\nthe population density is approximately people per square mile.

type the correct answer in the box. use numerals instead of words.\nthe shape of a township with a population of 12,620 people is shown.\nwhat is the population density to the nearest tenth?\nthe population density is approximately people per square mile.

Answer

Explanation:

Step1: Calculate the area of the township

We can split the shape into two rectangles. One rectangle has dimensions 40 mi by (60 - 25)=35 mi and the other has dimensions 25 mi by (40 + 25)=65 mi. The area of the first rectangle $A_1=40\times35 = 1400$ square - miles. The area of the second rectangle $A_2=25\times65 = 1625$ square - miles. The total area $A = A_1+A_2=1400 + 1625=3025$ square - miles.

Step2: Calculate the population density

Population density $D=\frac{\text{Population}}{\text{Area}}$. Given population = 12620 people and area $A = 3025$ square - miles. $D=\frac{12620}{3025}\approx4.2$ people per square - mile.

Answer:

4.2