This question requires translating "The girl is smart and polite" into Arabic.
Breaking down the English sentence:
The girl = الفتاة (al-fataat)
is smart = ذكية (dhakiyya)
and polite = ومهذبة (wa-muhadhdhaba)
The correct translation is الفتاة ذكية ومهذبة. This is a nominal sentence where الفتاة is the subject and ذكية ومهذبة is a compound predicate made of two adjectives joined by the conjunction و (and). Both adjectives are feminine to agree with the feminine noun الفتاة.
The other options do not match the meaning:
الفتاة متأخرة وقوية means "The girl is late and strong."
الفتاة سريعة وجميلة means "The girl is fast and beautiful."
الفتاة ضعيفة means "The girl is weak" and is incomplete, having only one adjective.
Note that the option contains a minor spelling variation (ذکية ومهنبة), but it remains the only choice that conveys the meaning of "smart and polite."