Find the perimeter of the image below: (4 points)
a. 37 units
b. 38 units
c. 39 units
d. 40 units
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Answer:
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.
Step-by-step explanation: