I have the following situation in Sketchup:
This is the situation I want to achieve (I didn't actually do this, I edited the lines out)
Is it possible to achieve this? I have tried joining, as cited by a source here but didn't find the Join tool mentioned. Whenever I simply remove the lines, the entire face of the horizontal bar gets removed with it. I don't want to stretch both the shapes out and ignore the problem because I ran into texturing issues doing this and I want to limit the number of faces rendered. I see no reason for those lines to be there.
After this, I want to stretch the now joined plane to create a thicker horizontal bar like in the image below. (I was trying to make a low-poly streetlight) I made this image by stretching both out and removing the lines afterwards, but when I looked inside of the model by hiding the front panel, there was a mess of lines where the smaller shape used to be that just couldn't be right.