The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula:

Were

is the area in square kilometers

is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so

. Lets replace that value in our formula to find

:

Now, to find the population density of the filed, we are going to use the population density formula:

where

is the population density in <span>in burrows per square kilometer
</span>

is the number of burrows

is the are of the field
We know that

and

, so lets replace those values in our formula:


We can conclude that the <span>density of prairie dog burrows is approximately
2444 burrws per square kilometer.</span>
We know that a triangle equals 180 degrees in total. We also know one of the angles so we can do 180-84= 96. This means that the other two angles must be equal to 96 degrees. We then set up (x+59)+(x+51)=96 "since both of the angles must add up to 96." Then we add like terms and get 2x+110=96. Further simplification gives us x= -7. Plug this into both angles and you get that angle A is 44 degrees.
X + y = 2 —> y = 2 - x
insert to first equation
2-x=x^2-3x-6
x^2 - 3x - 6 - 2 + x = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2