SOLUTION: What is the perimeter of PQR with vertices P(–2, 9), Q(7, –3), and R(–2, –3) in the coordinate plane? I used the Distance Formula and I get 18 units. What am I doing wrong???

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Question 647869: What is the perimeter of PQR with vertices P(–2, 9), Q(7, –3), and R(–2, –3) in the coordinate plane?
I used the Distance Formula and I get 18 units. What am I doing wrong???

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

PQR with vertices P(–2, 9), Q(7, –3), and R(–2, –3)
first distance P(–2, 9), Q(7, –3)
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%287--2%29%5E2+%2B+%28-3-9%29%5E2%29=+15+


For more on this concept, refer to Distance formula.


so, PQ=15....one side of PQR


second distance P(–2, 9), R(–2, –3)
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--2%29%5E2+%2B+%28-3-9%29%5E2%29=+12+


For more on this concept, refer to Distance formula.


PR=12....second side of PQR


third distance Q(7, –3), R(–2, –3)
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%28-2-7%29%5E2+%2B+%28-3--3%29%5E2%29=+9+


For more on this concept, refer to Distance formula.


QR=9....third side of PQR

now you are ready to find the perimeter P=PQ%2BPR%2BQR
P=15%2B12%2B9
P=36