SOLUTION: Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when neces

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Question 983842: Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
C (-1, 2),
D (-2, -1),
E (2, -2), and
F (1, 1)
use the distance formula, then add all of the distances
the distance between points
C (-1, 2) and D (-2, -1) is CD

Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%28-2--1%29%5E2+%2B+%28-1-2%29%5E2%29=+3.16227766016838+


For more on this concept, refer to Distance formula.




the distance between points
E (2, -2), and F (1, 1)is EF
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%281-2%29%5E2+%2B+%281--2%29%5E2%29=+3.16227766016838+


For more on this concept, refer to Distance formula.




the distance between points
C (-1, 2) and E (2, -2) is CE
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%282--1%29%5E2+%2B+%28-2-2%29%5E2%29=+5+


For more on this concept, refer to Distance formula.



the distance between points
D (-2, -1) and F (1, 1) is DF

Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%281--2%29%5E2+%2B+%281-11%29%5E2%29=+10.4403065089106+


For more on this concept, refer to Distance formula.




so,
CD=+3.16 units
EF=3.16
CE=5
DF=10.44
then, P=3.16%2B3.16%2B5%2B10.44=21.76




Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the lengths of the 4 sides.
CD, DE, EF and FC
------
Sum =~ 12.68 units