Question

New Hampshire has a population of 1,323,459. Its territory can be modeled by a triangle, as shown in the figure. Each unit on the coordinate grid represents one mile. Find the approximate population density of New Hampshire.

I am not able to download the the picture. It is problem # 6 on a website with the name "Greetings 3D Solid Solutioners! - PC\|MAC"
I had a lot of trouble with this problem, so help would be greatly appreciated.
Thank you.

Answer 1

Explanation:

The answer:

147 persons/mi^2

Answer 2

Approximately 120.31 people per square mile

Explanation:

1) The population density can be found by dividing the whole population over the area.

2) Since the NH map is modeled like this triangle, let's firstly calculate its area.

3) Based upon the original picture, and tracing it on we can easily see that the y coordinate is little bit over 200, precisely 220. Each mark on the original y-axis count as 20 miles. That'll give us the height.

The base of the triangle is 100 miles for F(100,0). Plugging that information on the formula:

`\bigtriangleup_(area)=(b*h)/(2)\rightarrow (220*100)/(2)=11,000 \:sq. \:miles`

4) The Population density:

`Pop. \:density=(1,323,459)/(11,000)=120.31 \:people\:per\:square\:mile`