To find the length of line segment BD, we first need to find the coordinates of point B and point D.
Point B is located at (1, 1) and point D is located at (7, 5).
Using the distance formula:
DB = √[(7-1)^2 + (5-1)^2]
DB = √[36 + 16]
DB = √52
DB ≈ 7.21 cm
Therefore, the length of BD is approximately 7.21 cm.