Problem #PRU-56750

Problems Geometry Plane geometry Triangles

Problem

Let $G, F, H$ and $I$ be the midpoints of the sides $C D, D A, A B, B C$ of the square $A B C D$ , whose area is equal to $S$ . Find the area of the quadrilateral formed by the straight lines $B G, D H, A F, C E$ .

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