  The Tangent Method of Colomo and Sportiello is applied to the study of the
asymptotics of domino tilings of large Aztec rectangles, with some fixed
distribution of defects along a boundary. The associated Non-Intersecting
Lattice Path configurations are made of Schr\"oder paths whose weights involve
two parameters $\gamma$ and $q$ keeping track respectively of one particular
type of step and of the area below the paths. We derive the arctic curve for an
arbitrary distribution of defects, and illustrate our result with a number of
examples involving different classes of boundary defects.
