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?

IneedHALP Apr 6, 2019

#1**-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.

HiylinLink Apr 6, 2019

#2**0 **

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

CPhill Apr 6, 2019