Respuesta :

9514 1404 393

Answer:

  34.44

Step-by-step explanation:

The distance formula can help you find the lengths of the diagonal sides.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  DO = √((6 -0)^2 +(0 -7)^2) = √(36 +49) = √85

  OG = √((3 -6)^2 +(-4 -0)^2) = √(9 +16) = 5

The length of NG is 3 -(-3) = 6.

The perimeter is the sum of the side lengths:

  P = DI +IN +NG +GO +OD = √85 +5 +6 +5 +√85 = 16 +2√85

  P ≈ 34.43909 ≈ 34.44 . . . units