Area problem

Geometry Level 3

$ABCD$ is a square with points $E$ and $F$ lying on sides $CD$ and $AD,$ respectively. If the purple area is $[BHGI]=120,$ what is the sum of the pink areas $[AHF]+[FGED]+[ICE]?$

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Area problem

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.