Point $P$ is located strictly in the interior of rectangle $ABCD$ such that $PA$, $PB$, $PC$, and $PD$ have distinct positive integer values. What is the least possible value of $PA+PB+PC+PD$?
(WRONG ANSWER: DELETED)
I suppose that it depends on your understanding of the word distinct.
In the context of this question, I would take it to mean different.
I was careless. I will attempt that again.
I will guess 15
