If the area you're talking about were to be Dutch, most likely it wouldn't be (rental) apartments in the first place; and if it were, rents would be much higher (probably even more than the e291). Which is why there are so many Dutch people living there at all. Also still, many people there would be quite offended if you told them they're more Dutch than Belgian. And a bit further up north there are whole villages on the east side of the river; Smeermaas for example.
As to why that part is Belgian: at the end of the "Belgian Revolution" (or "Belgian Uprising", depending on who you ask) the border was drawn at the location that each party occupied at the time. Since there was an Orange-minded general stationed in Maastricht during that period, he had kept the Belgian 'army' at bay quite easily with the cannons on the walls. So the border is at the distance that a cannon could shoot at the time. If you go up the ruins of the city walls in Maastricht (next to the statue of d'Artagnan, the fourth musketeer, who died there during another siege of Maastricht), there is still a cannon like that standing there.
Also, 'Meuse' is the name of the river in English; which of course is like that because the French name is 'la Meuse'.
As to why that part is Belgian: at the end of the "Belgian Revolution" (or "Belgian Uprising", depending on who you ask) the border was drawn at the location that each party occupied at the time. Since there was an Orange-minded general stationed in Maastricht during that period, he had kept the Belgian 'army' at bay quite easily with the cannons on the walls. So the border is at the distance that a cannon could shoot at the time. If you go up the ruins of the city walls in Maastricht (next to the statue of d'Artagnan, the fourth musketeer, who died there during another siege of Maastricht), there is still a cannon like that standing there.
Also, 'Meuse' is the name of the river in English; which of course is like that because the French name is 'la Meuse'.