Question

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

Answer 1

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