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Find the area of the larger quadrilateral

Source: South African MO 1995 Q5

May 27, 2012
geometrygeometry unsolved

Problem Statement

The convex quadrilateral ABCDABCD has area 11, and ABAB is produced to EE, BCBC to FF, CDCD to GG and DADA to HH, such that AB=BEAB=BE, BC=CFBC=CF, CD=DGCD=DG and DA=AHDA=AH. Find the area of the quadrilateral EFGHEFGH.
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