MathDB
2015 Geometry Tiebreaker #1

Source:

July 19, 2022
2015Geometry Tiebreaker

Problem Statement

A rectangle ABCDABCD is split into four smaller non-overlapping rectangles by two perpendicular line segments, whose endpoints are on the sides of ABCDABCD. If the smallest three rectangles have areas of 4848, 1818, and 1212, what is the area of ABCDABCD?