Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where and
are 2 legs of the triangle, and
is the hypotenuse, aka the longest side of any triangle:
We know and
and want
Therefore, is approximately
Answer: The state with the second lowest population has the lowest population density.
Step-by-step explanation:
Since, Density = Population / Area
The population of state A = 1,055,173
Its area = 2677 square km
Thus, the density of state A = = 394.162495,
The population of state B = 1,333,089
Its area = 36,418 square km
Thus, the density of state B = = 36.6052227,
The population of state C = 3,596,677
Its area = 5543 square km
Thus, the density of state C = = 648.868302,
The population of state D =6,745,408
Its area = 10555 square km
Thus, the density of state D = = 639.072288,
Since, by the above explanation,
The state in increasing order of the populations,
State A < State B < State C < State D,
Also, the state in increasing order of density,
State B < State A < State D < State C
⇒ Second option is correct.