ABCD is a convex quadrilateral such that AB = AD and angle BAD= 90°. E and F are the foots of perpendicular from A to BC and DC. If AE+AF=16, find the area of the quadrilateral ABCD.

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- Feb 14th 2013, 12:40 AMgeniusgarvilsum of perpendiculars does help
ABCD is a convex quadrilateral such that AB = AD and angle BAD= 90°. E and F are the foots of perpendicular from A to BC and DC. If AE+AF=16, find the area of the quadrilateral ABCD.