2017 COMC A3
Source:
October 12, 2018
Comc2017 COMC
Problem Statement
Source: 2017 Canadian Open Math Challenge, Problem A3
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Two × squares are removed from a × grid as shown.[asy]
size(3cm);
for(int i = 0; i < 6; ++i) {
for(int j = 0; j < 6; ++j) {
if(j < 5) {
draw((i, j)--(i, j + 1));
}
}
}
draw((0,1)--(5,1));
draw((0,2)--(5,2));
draw((0,3)--(5,3));
draw((0,4)--(5,4));
draw((0,5)--(1,5));
draw((2,5)--(5,5));
draw((0,0)--(2,0));
draw((3,0)--(5,0));
[/asy]Determine the total number of squares of various sizes on the grid.