Answer:
82
Step-by-step explanation:
To solve find the distance between each point using the distance formula
[tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
Now let's find the distance between each points
LP: 9
LM: 32
MN: 9
NP: 32
Let's start with LP (3, 3) & (3, 12)
Plug in 3 for x2 and x1, 12 for y2, 3 for y1
[tex]d = \sqrt{(3-3)^2+(12-3)^2}[/tex]
Now subtract 3 and 3 (0) and 12 and 3 (9)
[tex]d = \sqrt{(0)+(81)}[/tex]
Since the square root of 81 is 9 d = 9
Now do this for every point
Lastly, to find the perimeter add all of the sides
9 + 32 + 9 + 32 = 82
