MISCELLANEOUS PROBLEMS. 513 



Highways, Boundarylines. 



FENCES AND FENCING. 



In most states there is a law that requires a farmer to build 

 half of the fence on the line where two farms come together. 



A legal description of a farm gives the area as calculated 

 from the middle of all highways (public) adjoining it. 



COST OF FENCES. 



1. What will it cost to fence a field 50 rods long, and 35 rods wide, 

 with a woven wire fence costing 38c a rod; with posts set 20 feet 

 apart, at a cost of 20c each ; with 4 corner posts and two gate posts 

 costing 50c each and allowing $12 to cover labor and other expenses? 



2. If an 80 acre farm, 80 rods wide and 160 rods long has a frontage 

 on a public highway 60 feet wide at one end, and a frontage on a 

 public highway 50 feet wide on one side, what will be the number 

 of rods of fence required to go around this farm, if we deduct the 

 number of rods to be built by adjoining land owners, and deduct 

 also half the area of the highways fronting this farm? 



Surface or Square Measure. 



144 square inches (sq. in.) = 1 square foot (sq. ft.) 



9 square feet = 1 square yard (sq. yd.) 



30.25 sq. yds. = 1 square rod (sq. rd.) 



272.25 sq. ft. = 1 square rod 



160 square rods = 1 acre (A.) 



640 acres = 1 square mile (sq. mi.) 



36 sq. mi. = 1 township. 



A Square Acre. 



1 side of a square acre = 12.649 rods in length. 

 1 side of a square acre 69.567 yards in length. 

 1 side of a square acre = 208.708 feet in length. 



Figure i represents a farm in a hilly section. A river runs 

 through the farm. The boundary lines are irregular on account 

 of the course of the public highway in a hill country. The fields 

 are laid out in various shapes on account of river, swamps, low- 

 lands, hillsides, roads and boundarylines. 



The fields are in the shapes of triangles, rectangles, trap- 



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