Answer:
The perimeter is 36.2 units.
Step-by-step explanation:
M (4,4), N (5,-7) and O (-6,-6)
The distance formula is
[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]
The perimeter is given by
P = MN + NO + MO
P = 11.05 + 14.14 + 11.05 = 36.24 units