PR 4 # 14

Wacky · 2006-06-14, 16:40

A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree. A neighbor offered to purchase a triangular portion of the field stipulating that a fence should be erected in a straight line from one side of the field to an adjacent side so that the beech tree was part of the fence. The farmer accepted the offer but made sure that the triangular portion was of minimum area. What was the area of the field that the neighbor received, and how long was the fence?

retina · 2006-06-16, 07:57

area=939120 yards^2, length=2018 yards

2006-06-14, 16:40	#1
Wacky Jun 2003 The Texas Hill Country 3²·11² Posts	PR 4 # 14 A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree. A neighbor offered to purchase a triangular portion of the field stipulating that a fence should be erected in a straight line from one side of the field to an adjacent side so that the beech tree was part of the fence. The farmer accepted the offer but made sure that the triangular portion was of minimum area. What was the area of the field that the neighbor received, and how long was the fence?

2006-06-16, 07:57	#2
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2×11×283 Posts	area=939120 yards^2, length=2018 yards