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

Options

A. `(3-2sqrt(2)):3`
B. `(9-6sqrt(2)):2`
C. `1: (9-6sqrt(2))`
D. `(3+2sqrt(2)):2`