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As shown in the above figure: Because BC=3BE,

The area of triangle BFC is three times that of triangle BEF,

The area of the triangle BFC is 3,

The area of triangular FDC is three times that of triangular BFC,

Then the area of the triangle FDC is 3x3 = 9,

So the area of triangle BDC is 3+9= 12,

Therefore, the area of the rectangle is12× 2 = 24;

So the answer is: 24.