The vertices of a quadrilateral are located at (0,,0)(3,4) and (6,4). what is the approximate perimeter of the quadrilateral. show all work

The length of the perimeter is the sum of the lengths of the 4 sides. The length of the segment between (a, b) and (c, d) is given by the Pythagorean theorem as
  length = √((c-a)² +(d-b)²)

The differences between adjacent points are
  (3, 0) -(0, 0) = (3, 0) . . . . length 3
  (3, 4) -(3, 0) = (0, 4) . . . . length 4
  (6, 4) -(3, 4) = (3, 0) . . . . length 3
  (0, 0) -(6, 4) = (-6, -4) . . . . length √(36+16) = 2√13

The perimeter is 3+4+3+2√13 = 10+2√13 ≈ 17.21