MathDB
BMT 2022 Geometry #2 / General #15

Source:

August 12, 2023
geometry

Problem Statement

Sohom constructs a square BERKBERK of side length 1010. Darlnim adds points TT, OO, WW, and NN, which are the midpoints of BE\overline{BE}, ER\overline{ER}, RK\overline{RK}, and KB\overline{KB}, respectively. Lastly, Sylvia constructs square CALICALI whose edges contain the vertices of BERKBERK, such that CA\overline{CA} is parallel to BO\overline{BO}. Compute the area of CALICALI. https://cdn.artofproblemsolving.com/attachments/0/9/0fda0c273bb73b85f3b1bc73661126630152b3.png