Considering the shape of a rectangular loop in a changing magnetic field:
The induced $\epsilon$ would be zero? Since a rectangular loop is a combination of wires in series to create such a shape. Each wire in this loop induces $\epsilon$ opposes the other, and they should each cancel out?
Here is the diagram adjusted with polarities:
Examples of induced $\epsilon$ canceling out:
Where there are two separate conductors that are wired in series together, each in the same magnetic field, that experience the same flux change over the same time period.