Would you eat a meal and then exercise?
Well….as a matter of fact, I would. If you are working out, most coaches/trainers want you to eat prior to exercising. What you eat and when you eat is really key to how well your workout goes.
When I had a cycling coach, he always made me eat a meal about 30 - 40 minutes prior to riding. As well as eat/drink during and after each ride. It was part of my training diary that I turned into him every week so he could determine my drills for the following week. Because he was also a nutritionist, we had many discussions about the importance of food with exercise.
There is nothing wrong with eating before exercising. It is fuel for the body.
Regarding my basenjis...they always get some biscuits before a walk in the morning...2 of mine get sick if they exercise on an empty stomach.