Problem #PRU-56747

Problems Geometry Plane geometry Area Area (other)

Problem

Let $E$ and $F$ be the midpoints of the sides $B C$ and $A D$ of the parallelogram $A B C D$ . Find the area of the quadrilateral formed by the lines $A E, E D, B F$ and $F C$ , if it is known that the area $A B C D$ is equal to $S$ .

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