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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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?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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