To quilt around border or not?
 

Almost done w/this Moda neutrals lap quilt. I have the darker turquoise binding ready] to place for a one inch wide binding. I quilted inside the square boxes and also did the starter up/down straight stitch seams across the disappearing nine patch quilt.
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Absolutely quilt the border! It will look great.

Yes, quilt the border!

To quilt the border or not?
 

Ok will give it a go- just not a pro at it yet and don't want to ruin it.

Sorry more work definately quilt the border.

Nicely done! I'd quilt the border too. You could follow along the pattern in kind of a chevron design. It's not too wide, so you could probably get away with 2-3 rows of it. Or you could continue with how you have the center quilted.

I am with all the others, quilt the border. I always quilt my borders, no matter how small they are. Gives a finished look.

Yes, do piano key in center of each of those obtuse triangles...easy peasy...will be great.

Never done piano keys .Should be all same length or varied? I am just trying to avoid having an un-even border for binding.

Yes, you need to quilt something in the border to keep the layers in place. Job well done so far.