From her home, Jada would have to walk 3 miles north to get to her friend Brianna's house and 4 miles east to get to her friend Luke's house. One day, Jada walked from her home to Luke's house. Together, Luke and Jada cut directly through the field that separated them from Brianna's house. When they finished playing at Brianna's, Jada walked back home. In all, how far did Jada walk?