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Rectangle $ABCD$ has area $2006.$ An ellipse with area $2006\pi$ passes through $A$ and $C$ and has foci at $B$ and $D$. What is the perimeter of the rectangle?

 Jul 26, 2019
 #1
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Take a look at:

 

https://artofproblemsolving.com/wiki/index.php/2006_AMC_12B_Problems/Problem_21

 

I think it's the problem you're looking for.

 Jul 26, 2019

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