Quadrilateral calc

The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calculate the area of this quadrilateral.
Thank you

Final Answer:

S = a^2/5

Step-by-step explanation:

a=1 a=AB=BC=CD=AD ABF = HCD = a (a/2)/2 = a2/4  S=a2/5



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