November 2019 - Math Problem

Small and large hexagon

If there are three dots on each side of a hexagon as shown, then there are 12 dots in total.  

If there are five dots on each side of a hexagon as shown, then there are 24 dots in total.  

Following this pattern how many dots would there be in total if there were 10 dots on each side?  

 

Solution:

There would be 54 dots.  Following this pattern, would it be possible to have a total of 85 dots?

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