ABC and DEF are similar triangles. If the ratio of side AB to side DE is (√2 + 1) ∶ √3, then the ratio of the area of triangle ABC to that of triangle DEF is

1
(3 – 2√2) ∶ 3
2
(9 – 6√2) ∶ 2
3
1 ∶ (9 – 6√2)
4
(3 + 2√2) ∶ 2

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