MathDB
2015 Geometry #7

Source:

July 1, 2022
2015Geometry Test

Problem Statement

In a rectangle ABCDABCD, two segments EGEG and FHFH divide it into four smaller rectangles. BHBH intersects EGEG at XX, CXCX intersects HFHF and YY, DYDY intersects EGEG at ZZ. Given that AH=4AH=4, HD=6HD=6, AE=4AE=4, and EB=5EB=5, find the area of quadrilateral HXYZHXYZ.