Perhaps a visual will help. This is just a pic I took to verify general layout so pardon the wonky pinning. I took it off the wall and got an accurate pinning to get my measurements and adjusted and double checked.
The puple border the patchwork is attaching to is 41 across the top. The center gap is 6 inches on top and 5 inches on bottom. The sides will have 4" rectangles in the center section to make up thier gap. I was thinking 1 block and smashing to fill the gap.on the top and make it feel intentional. Now that Im typing this our Im realizing that another checkerboard section would be 6" so thats an option if it won't look to weird just having odd blocks on the sides.