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Three parallel lines L₁, L₂, L₃ are drawn in the plane such that the perpendicular distance between L₁ and L₂ is 3 and the perpendicular distance between L₂ and L₃ is also 3 . A square A B C D is constructed such that A lies on L₁, B lies on L₃ and C lies on L₂ .Find the area of the square

Correct answer

45

Step-by-step solution

aligned & = 3 a and = 6 a & 9 a^2 + 36 a^2 =1 a^2=45 aligned

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