Offset Srf Taper

Hi , I have two surfaces that I would like to thicken without creating gaps between them. when I use offsetsrf command it only thickens the surface normal to it and eventually creates gap. Could you please help me how can I remove the gap or offset srf tapered? any other alternative solution is fine too. Please help. a.3dm (78.2 KB)

What I want actually:

Hi. It did not work to connect the original surfaces, and then offset them - a curvature appears at the junction. So I propose to offset two separate surfaces and then work with them (a simple example in the video). This is just one of the ways (as always in Rhino). For more specific help, there is not enough information about what you would like to have as a result.

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