That red triangle is so isolated!

Geometry Level 4

In rectangle \(ABCD\), \(K,H,J\) are the mid-points of \(BC,AB,DC\) respectively. Line-segments \(AC,HJ,DK\) bound a red triangle \(EFG\). Find the ratio of the area of the big rectangle to the area of red triangle. Give your answer to correct 2 decimal places.

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