Ethyl methacrylate is an example of crossed conjugation.
CH2=C(-Me)-C(=O)-Oet
The ethylenic bond does not enter into resonance with COOEt group. The contribution to resonance is only the path that leads to greater resonance energy, which in this case is the carbethoxy group.
The structure of p-benzoquinone is known as crossed conjugated system; it contains three( or more) conjugated double bonds which are not arranged in a continuous chain. It behaves as an alpha-beta unsaturated ketone, most of its addition reactions being typical 1,4-additions, followed by aromatisation. The driving force of these additions is largely due to the fact that the resonance energy of quinone is 20.9kJ per mole, and when it converts into the aromatic compound, the product has gained an increased stabilization energy of atleast 125.5kJ per mole.