Does This Bag Make Me Look Fat?

I was forced to check my bag while boarding a plane. I put it in the sizing device and it seemed to fit. The agent saw it as too thick and made me check it. I had just gotten off a plane and the bag fit fine in the overhead bin. I wasn’t going to argue, but the thing making it too big was my winter coat. I packed it instead of shoving it in the overhead bin, and I could’ve easily taken it out to prevent checking my bag. One of my colleagues was also forced to check her bag because it was “too fat.”