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To find the length of BD, we need to find the coordinates of points B and D on the coordinate plane.
From the given polygon, we can see that point B is located at (2, 4) and point D is located at (4, 6).
We then use the distance formula to find the length of BD:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Distance = √((4 - 2)^2 + (6 - 4)^2)
Distance = √(2^2 + 2^2)
Distance = √(4 + 4)
Distance = √8
Therefore, the length of BD is √8 units.