Problem

Source:

Tags: Comc, 2018 COMC



Source: 2018 Canadian Open Math Challenge Part B Problem 2 Let ABCD be a square with side length 1. Points $X$ and $Y$ are on sides $BC$ and $CD$ respectively such that the areas of triangels $ABX$, $XCY$, and $YDA$ are equal. Find the ratio of the area of $\triangle AXY$ to the area of $\triangle XCY$.