Which statement best explains the map? (a)this map shows the total area conquered and controlled by alexander iii. (b) this map shows the total area conquered and controlled by philip ii. (c)this map shows borders in greece prior to the peloponnesian war. (d)this map shows borders in greece prior to the persian wars.

I believe the correct answer is B. This map shows the total area conquered by and controlled by Philip II.
Philip II was Alexander III's (Alexander the Great) father, and he started ruling Macedon in 359. His son succeeded him in 336 BCE, so he couldn't have possibly conquered everything in the map in just one year - those are all his father's victories (assuming you are referring to the map I've attached). Peloponnesian Wars and Persian Wars happened much before either one of them, so C and D are incorrect too.