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The figure shows a triangular park ABC. The area DEFC is cordoned off by putting barricades on the sides DE and EF. A triangle ABC is shown with vertex angle at A. D,E and F are points on AC, AB and BC respectively, so that the segment DE is parallel to BC and the segment EF is parallel to AC. AB has length 150 feet, AC has length 90 feet, BC has length 180 feet and BE has length 120 feet. What is the total length of the barricades DE and EF?

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