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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 $PA+PB+PC+PD$?  

 Oct 31, 2019
 #1
avatar+7725 
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(WRONG ANSWER: DELETED)

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 Oct 31, 2019
edited by MaxWong  Oct 31, 2019
 #2
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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.

Guest Oct 31, 2019
 #3
avatar+7725 
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I was careless. I will attempt that again.

 Oct 31, 2019
 #4
avatar+19836 
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I will guess  15

 Oct 31, 2019

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