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A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from...

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Advance Math

A farmer owned a square field measuring exactly 2261 yards oneach side. 1898 yards from one corner and 1009 yards from anadjacent corner stood a beech tree. A neighbor offered to purchasea triangular portion of the field stipulating that a fence shouldbe erected in a straight line from one side of the field to anadjacent side so that the beech tree was part of the fence. Thefarmer accepted the offer but made sure that the triangular portionwas of minimum area. What was the area of the field that theneighbor received, and how long was the fence?

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