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Let A1, B1.C1.D1 be the midpoints of th...

Let `A_1, B_1.C_1.D_1` be the midpoints of the sides of a convex quadrilateral `ABCD` and let `A_2. B_2, C_2,D_2` be the midpoints of the sides of the quadrilateral `A_1B_1C_1D_1.` If `A_2,B_2,C_2,D_2,` is a rectangle with sides `4 and 6,` then what is the product of the lengths of the diagonals of `ABCD?`

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