Question

the state of massachusetts is about 150 miles long and 50 miles wide, and its area can be approximated by a rectangle. the population of massachusetts in 2018 was about 6,742,000. what is the approximate area of the state of massachusetts? square miles what was the population density in square miles of massachusetts in 2018? people per square mile (round to the nearest hundredth, 2 decimal places.)

Explanation:

Step1: Calculate the area of the state

The state is approximated as a rectangle. The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Given $l = 150$ miles and $w = 50$ miles.
$A=150\times50 = 7500$ square - miles

Step2: Calculate the population density

The population density formula is $D=\frac{P}{A}$, where $P$ is the population and $A$ is the area. Given $P = 6742000$ and $A = 7500$ square - miles.
$D=\frac{6742000}{7500}\approx898.93$ people per square mile

Answer:

7500 square miles
898.93 people per square mile