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Geometry 11 Online
OpenStudy (rmpjingwei):

ABCD is a rectangle with point E on line segment AB and point F on line segment BC such that [ADE]=7, [BEF]=11 and [DCF]=9. Then [DEF]=a√b, where a and b are integers and b is not a multiple of the square of any prime. What is the value of a+b? [PQRS] denotes the area of figure PQRS.

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