That red triangle is so isolated!

Geometry Level 5

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.

That red triangle is so isolated!

This problem is original.