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∵ quadrilateral ABCD is a square,
∴∠D=∠ABC=90,AD=AB,
∴∠ABE=∠D=90,
∫∠EAF = 90,
∴∠DAF+∠BAF=90,∠BAE+∠BAF=90,
∴∠DAF=∠BAE,
At △AEB and △AFD,
∠∠EAB =∠Dafa = AB∠ Abbe =∠ D,
∴△AEB≌△AFD(ASA),
∴S△AEB=S△AFD,
∴ They all added the area of quadrilateral ABCF,
We can get the area of quadrilateral AECF = the area of square = 16.
So the answer is: 16.
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