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Explanation:

Let the side of square be a.

Area of quadrilateral EFDG = Ar(△DGF) + Ar(△GEF) = 1/2 × a/2 × a + 1/2 × a × a/2 = 1/2 × a2

Ar(EFDG) : Ar(S) = 1/2 × a2 : a2 = 1 : 2

Hence, option (a).

 

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