Mathematics

Mathematics

Problem

In the given figure, if ar(ΔABC)=28 cm2ar(\Delta ABC) = 28 \text{ cm}^2 , then ar(AEDF)=ar(AEDF) = ![A triangle ABC. Points D, E, and F are on the sides BC, AC, and AB respectively. Segments FD and FE are drawn. Markings indicate that AF = FB, BD = DC, and AE = EC. This configuration suggests that F and E are midpoints of AB and AC, and D is the midpoint of BC, forming the medial triangle FDE.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/cba570da9d424ae1b5e76ce1513694e1/30a26f2d17ca95672702bf50fb4f0242_img.jpg) (A) 21 cm221 \text{ cm}^2 (B) 18 cm218 \text{ cm}^2 (C) 16 cm216 \text{ cm}^2 (D) 14 cm214 \text{ cm}^2

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