On the coordinate plane, MNO has vertices M(4,4), N(5,-7) and O(-6,-6). What is the perimeter of MNO? If necessary, round your answer to the nearest tenth

Respuesta :

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