Purple Comet 2018 MS problem 4
Source:
March 19, 2020
geometry
Problem Statement
The diagram below shows a large square with each of its sides divided into four equal segments. The shaded square whose sides are diagonals drawn to these division points has area . Find the area of the large square.
https://cdn.artofproblemsolving.com/attachments/8/3/bee223ef39dea493d967e7ebd5575816954031.png