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To determine the estimated date of delivery (EDD) using Nagele's rule, one would start by taking the first day of the last menstrual period (LMP) and adding one year, subtracting three months, and adding seven days.

In this case, with the first day of the last menstrual period being September 25, 2012, the calculation proceeds as follows:

1. Start with the date: September 25, 2012.

2. Add one year: September 25, 2013.

3. Subtract three months: June 25, 2013.

4. Add seven days: June 25 + 7 days = July 2, 2013.

This results in an estimated date of delivery of July 2, 2013, confirming that this is the accurate outcome based on the application of Nagele's rule.

Understanding this rule is essential for healthcare providers as it helps in providing crucial information for pregnancy tracking and planning.