7
Part of 2022 MIG
Problems(2)
2022 A Individual #7
Source:
4/28/2022
Consider the rectangular strip of length below, divided into three rectangles. The distance between the centers of two of the rectangles is . What is the length of the other rectangle?[asy]
size(120);
draw((0,0)--(12,0)--(12,1)--(0,1)--cycle);
draw((8,1)--(8,0));
draw((3,1)--(3,0));
dot((1.5,0.5));
dot((5.5,0.5));
draw((1.5,0.5)--(5.5,0.5));
[/asy]
geometry2022 A Individual
2022 B Individual #7
Source:
4/30/2022
Alice, Bob, and Charlie are each thinking of a number. Alice's number differs from Bob's number by . Bob's number differs from Charlie's number by . Charlie's number differs from Alice's number by . What is the sum of all possible values for ?
2022 B Individual