A better solution would have been to route a rabbet into the side, so that the added strip always had thickness. The way I did it means that the strip I glued in is very narrow, and hence very weak, at a certain point. In this case, that's not a problem, because it's going to be sitting under the countertop layer. I also noticed that because I had only clamped the strip down, and not into the edge, there was a noticeable glue gap where the strip butted up against the MDF. Again, in this application it isn't visible. But if I was doing something like this on the top of a table, I'd make sure to cut a clean rabbet, and to clamp both down and in.

Through demonstrations and practice you will learn how to build a Simple Table Top. Square wood using the Jointer, Planer and Table Saw, then learn how to use the Festool Domino Joiner to keep perfect registration during the glue up. This will be a group project where everyone will help build a single table top. The goal is to gain experience and confidence...
Our stationary equipment runs the complete range from heavy-duty industrial machines, to inexpensive home shop type of tooling so that each student can compare and contrast the range and versatility of equipment at a wide variety of price points.  We spend time on what makes a good machine good, an adequate one adequate, and a lousy machine worthless. We have no commercial sponsors and will share our opinions based on our experiences regarding the quality of one manufacturer over another.  There is no better place to kick the tires on a variety of equipment than at our shop.     
This particular tray is made using reclaimed barn wood but the author of the project Beyond The Picket Fence surprised everyone with one fact: reclaimed barn wood has often some areas turned pink due to cow urine. If you check the project more closely, you’ll also notice some areas of the tray being almost bright pink. That’s something you don’t see every day!
Synopsis: No room in the garage? Basement not an option? Consider what Ken St. Onge did when he needed shop space: He bought a prefabricated shed and converted it into his full-time woodshop. Because a pre-built shed doesn’t need a cement foundation and is built in a factory, it’s much less expensive than building an addition or stand-alone shop on your property. It can have taller ceilings than a garage and bigger doors than a basement, both big pluses for a woodworker. You can put a shed just about anywhere, too. Here’s a soup to nuts look at Ken’s experience, so you can gauge whether a shop in a shed is right for you.