What is the prepositional phrase in sentence The boy with yellow hair ran home?

The prepositional phrase in the sentence "The boy with yellow hair ran home" is "with yellow hair".

Here's why:

* Preposition: "with" is the preposition.

* Object of the Preposition: "yellow hair" is the noun phrase that follows the preposition.

* Function: The entire phrase modifies the noun "boy," telling us what kind of boy it is.