Tetragonal distortion in Fe_0.5Co_0.5 alloy films grown epitaxially on Rh(001) substrates results in an easy magnetization axis perpendicular to the film plane up to the thickness of 17 ML. The distortion is supported by a Rh-overlayer; thus the strong perpendicular anisotropy can be kept when another Fe_0.5Co_0.5 film is grown on top of the Rh/Fe_0.5Co_0.5/Rh(001) structure. Depending on the thickness of the Rh spacer, the top and bottom Fe_0.5Co_0.5 films are either ferro- or antiferromagnetically coupled. The net magnetization of the antiferromagnetically coupled Fe_0.5Co_0.5/Rh/Fe_0.5Co_0.5 bilayer switches at the field which depends on the difference between magnetizations of both the Fe_0.5Co_0.5 layers. The final covering of the Fe_0.5Co_0.5/Rh/Fe_0.5Co_0.5/Rh(001) structure with Rh increases the switching field. The effect is explained by a locally enhanced magnetization in the Rh/Fe_0.5Co_x interfaces.