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We connect dots with toothpicks in a grid as shown below. The grid below has 5 horizontal toothpicks in each row and 5 vertical toothpicks in each column.

https://latex.artofproblemsolving.com/a/0/9/a09f1bb501836567c1ec7839b02eff1a18e4d876.png

Suppose we instead have a grid of dots that requires 10 horizontal toothpicks in each row and 20 vertical ones in each column. Then, how many total toothpicks will we need?

 Apr 6, 2019
 #1
avatar+476 
-4

I might be able to help you if you have a screen shot you can upload here.......  

 

 

 

(I don't have acess to the link) 

 

 

well actually never mind this comment I cheked your previous problems you in a higher level of math than me sorry about this inconvience.

 Apr 6, 2019
edited by HiylinLink  Apr 6, 2019
 #2
avatar+103790 
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The number of horizontal toothpicks  = 

 

(number of horizontal toothpicks in one row ) (number of vertical toothpicks in each column + 1)

 

Similarly.....

 

The number of vertical toothpicks  =

 

(number of vertical toothpicks in each column) (number of horizontal toothpicks in each row + 1)

 

So.....

 

The total number of horizontal toothpicks  =  (10)(20 + 1)   = 10 * 21  =  210

And

The number of vertical toothpicks + (20 ) (10 + 1) = 20 * 11  = 220

 

So...the total toothpicks  =   210 + 220   =  430

 

 

cool cool cool

 Apr 6, 2019

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