10
Part of 2022 MIG
Problems(2)
2022 A Individual #10
Source:
4/28/2022
The diagram below shows a square of area separated into two rectangles and a smaller square. One of the rectangles has an area of . What is the smallest rectangle's area?[asy]
size(70);
draw((0,0)--(2,0)--(2,6)--(0,6)--cycle);
draw((2,2)--(6,2)--(6,6)--(2,6)--cycle);
draw((2,2)--(6,2)--(6,0)--(2,0)--cycle);
label("",(1,3));
label("",(4,4));
label("",(4,1));
[/asy]
geometry2022 A Individual
2022 B Individual #10
Source:
4/30/2022
What is the maximum possible value of over all integers ?
2022 B Individual