Learn Spanish (Latin America): ¿Cuántos cuadrados llevas cortados para el triángulo? - How many squares have you cut for the triangle so far?

Using llevar + past participle emphasizes the accumulation or progress of an action up to this moment, which is why it translates well to 'have you cut so far'. While has cortado (have you cut) is grammatically correct, llevas cortados highlights that this is an ongoing project and there might be more cutting to do.

Why does the past participle cortados end in -os?

In standard perfect tenses with haber (like has cortado), the past participle never changes form. However, in this specific structure (llevar + past participle), the participle acts more like an adjective describing the direct object. Since the direct object is cuadrados (masculine plural), the participle must become cortados to match its gender and number.

Even though cuadrados is at the very beginning of the sentence, does cortados still agree with it?

Yes! Because this is a question asking 'How many squares...?', the direct object (cuadrados) moves to the front of the sentence. The verb structure llevas cortados still points back to cuadrados, so the masculine plural agreement is required no matter where the object sits in the sentence.

Why do we use para instead of por in para el triángulo?