Easier Triangle Units??

I am working on this project called Fun & Done which overall is very simple, but it wastes a bit of fabric & I was trying to find a way to waste as little as possible. The ends of the blocks are 2 triangles and in the pattern it has you just lay down a 2 piece strip set then cut trim later, which is wasting just as much as its using.

After asking around, searching the net, pulling out a few hairs I thought about sewing 2 strips together and cutting them. I could swear i have seen this method done somewhere but couldn't find it anywhere in my searches. If someone knows who created this method please let me know and I will gladly give them credit. The photos below are my first "experiment" and are not meant to show any accuracy just testing out this method. I have tried explaining what I did best I can and if its confusing i apologize.

Here is the pattern I am working on, I am not doing it exactly as pictured, I am doing a solid strip for the center and using 5 colors instead of 2. Its the corner triangles that I was trying to save fabric on and have a easier way to get them done.

"Fun & Done"
Designs by Susan Nelson- Prairie Sky Quilting
This is a copyrighted pattern, for information please go to:
http://www.prairieskyquilting.com

My Solution

I cut strips 2 1/2" x 40".
Placed right sides together & sewed along each side creating a tube.

Next I placed my ruler at a 45 degree angle lining it up with the bottom of the fabric then left 1/4" in from the edge and cut.

Then I rotated the ruler & added the 1/4" and cut again.

I repeated that process until i had several cut

And when I was done, all the units are the same color pairs
which is what I needed for my pattern.
(When opening the units, the points are still sewn together but they pull open with no problem.)