MISCELLANEOUS PROBLEMS. 515 



ezoids, and other figures and are given in this connection to 

 facilitate the study of farm mensuration. 



This farm has a length of 160 rods and a width of 100 rods 

 at the points of maximum length and width. 



The different fields are designated by different letters. 



The heavy dark lines show the boundaries of fields. The 

 dotted lines are drawn to aid in finding areas of irregular fields. 

 The figures show lengths in rods of different straight lines. 



PROBLEMS. 



1. Find exact number of acres in each of the following fields : 

 A, D, H, K, and L. 



2. Find the approximate area of each of the fields lettered B, C, 

 E, F, G, I, M, P, and R, and island marked S. 



3. What is the approximate area taken by the river? 



4. What is the approximate area of the land on each side of the 

 river? Give area of farm. 



PROBLEMS. 



1. A square field has 100 rods of fence around it; what is the cost 

 of fencing per acre at 50c a rod? 



2. A rail fence 160 rods long takes up a space 5 feet in width; how 

 much land will be gained for cultivation if the rail fence is removed and 

 the same number of rods in length is replaced with a woven wire fence, 

 requiring a strip only 6 inches wide for posts and wire? 



Solid Measure. 



1728 cubic inches = 1 cubic foot. 

 27 cubic feet 1 cubic yard. 

 The cord equals 128 cubic feet. 



The cord is a rectangular solid, 8 feet long, 4 feet wide, and 4 feet high. 

 (8x4x4 = 128 cu. ft.) 



Firewood is usually sold by the cord, which is 8 feet long and 4 feet 

 high; the width of the pile depending on the length of the sticks desired 

 for the stove in which it is to be burned. 



PROBLEMS. 



1. A pile of wood is 32 feet long, 5 feet high, and the sticks are 4J 

 feet long, or the width of the pile is 4 feet; how many cords are there 

 in the pile? 



