Question

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

Answer 1

The perimeter is 36.2 units.

Explanation:

M (4,4), N (5,-7) and O (-6,-6)

The distance formula is

`d =√((x''-x')^2 + (y''-y')^2)\\\\MN =√((5 -4)^2 + (- 7 - 4)^2)\\\\MN = 11.05 \\\\MO =√((-6 -4)^2 + (- 6 - 4)^2)\\\\MO = 14.14\\\\ON =√((-6-5)^2 + (- 6 + 7)^2)\\\\ON = 11.05`

The perimeter is given by

P = MN + NO + MO

P = 11.05 + 14.14 + 11.05 = 36.24 units