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Can someone give me a full solution? Thanks!

A 6'' by 6'' grid made from 1'' pieces of wire glued together at their ends is shown here. How many pieces of wire would be required to create a similar 10'' by 10'' grid?

https://latex.artofproblemsolving.com/2/5/1/2515356e09f40809d93d332f2cc2074831a6ed15.png

 Feb 12, 2018

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 #1
avatar+128408 
+1

Let's look at the 6 x 6 case,  first

 

Notice that the number of  "vertical" segments   is   6(7)

 

And the number of "horizontal" segments  is 6(7)

 

This implies that the number in a 10  x 10 array should be

 

2 (10) (11)  =    220 

 

 

cool cool cool

 Feb 12, 2018
edited by CPhill  Feb 12, 2018
edited by CPhill  Feb 12, 2018

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