Find the perimeter of the image below:

37 units
38 units
39 units
40 units

The correct answer is 39 units.

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula: 
d =

Each vertex in the polygon has its corresponding points:
P (-2,11)
T (8, 7)
S (1, 7)
R (2, 0)
Q (-4,5)

So to get the length of side PT, we use the distance formula and the vertices of side PT:
P  = (-2, 11)
T  = (8, 7)

 

The length of PT is 
The same procedure is done for the other 4 sides and the following are the answers:
TS = 
SR = 
RQ = 
QP = 

And by adding all the sides, you get the perimeter:


By rounding off, the answer is 39 units.