2013/8/22/Toothpicks in a grid
Source:
November 27, 2013
AMC
Problem Statement
Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How many toothpicks are used altogether?[asy]
picture corner;
draw(corner,(5,0)--(35,0));
draw(corner,(0,-5)--(0,-35));
for (int i=0; i<3; ++i)
{
for (int j=0; j>-2; --j)
{
if ((i-j)<3)
{
add(corner,(50i,50j));
}
}
}
draw((5,-100)--(45,-100));
draw((155,0)--(185,0),dotted+linewidth(2));
draw((105,-50)--(135,-50),dotted+linewidth(2));
draw((100,-55)--(100,-85),dotted+linewidth(2));
draw((55,-100)--(85,-100),dotted+linewidth(2));
draw((50,-105)--(50,-135),dotted+linewidth(2));
draw((0,-105)--(0,-135),dotted+linewidth(2));[/asy]