IKMC 2027 - Grades 7-8 - Self-study SET 13 - Thematic Batch 3 Question 24

ADEF, ABLM and DBKF are squares. Triangle ADB is right-angled at A. Triangle ABC is congruent to triangle HFG. AB = 3 cm and AD = 4 cm. What is the orange area?

Editorial note: The source reuses the label F at two distinct vertices; F in HFG and DBKF is the lower one.