He hanged himself from a tree that was in a field. His body was left there long enough for it to decay, and his insides burst open in the field. It later became known as the ‘Field of Blood’.
When Matthew says the temple Elders bought the field and Acts says Judas bought it, it’s easy to see both as correct. If Joe and Mary both see me hand my wife $10 to buy milk and bread, then Joe goes and reports “Spyridon bought milk and bread with his $10” and Mary goes and says “Spyridons wife bought milk and bread with his money”, are not both of these still accurate? One places emphasis on me, another places emphasia on my wife. But both are factually accurate.
It’s actually very easy to synthesize the passages in Matthew and Acts. Modern critical scholars are too quick to see contradictions or errors where there aren’t necessarily any issues. Instead of the traditional practice of seeking a synthesis of the apparently conflicting passages, they’re satisfied simply pointing out the surface-level contradiction, leaving it at that, and letting people draw their conclusions individually.