Find the area!

Geometry Level 3

In any triangle \(ABC\), points \(D\), \(E\) and \(F\) are the midpoints of \(AB, BC\) and \(AC\) and from which perpendiculars are dropped on sides \(AB, BC \) and \(AC\).The area of triangle \(ABC\) is 20 square units. Find the area of the polygon \(DHEIFG\).

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