ARITHMETIC 



baseboard is 8 in. high, and the height of walls from 

 floor to ceiling is 9 ft. 



SOLUTION. Since the widths of the openings are not 

 specified, it will be necessary to use rule II. 



Perimeter of room = 2 x 15 + 2 x 20 = 70 f t. = 23^ yd. = 46% 

 half yards, or 47 strips. Assuming that the strips extend 

 the height of the baseboard above the bottom edge of 

 the border, the length of a strip is (since 18 in. = \ l / 2 ft.) 

 9-1^-7^ ft. = 2 l / 2 yd. Hence, the number of strips in 

 a single roll is 8 T 2]/ 2 - 3 strips, and the number of rolls 

 required is. 47 T 3 - lS 2 /s, or 16 rolls. 



In papering the ceiling, the direction in which the 

 strips are to run must be considered. If the strips run 

 lengthwise of the room, the distance between the edges 

 of the border is 20 - 2 x \y 2 = 17 ft., and the length of the 

 strips must be at least 18 ft., or 6 yd., long; hence, but 

 1 strip can be cut from a single roll, and but 2 strips 

 from a double roll. The width of the room in half yards 

 is (15 T 3) x2 = 10; hence, allowing for the border, 9 strips, 

 or 9 single rolls, will be required. 



If the strips run crosswise of the room, the length 

 of a strip between the edges of the border will be 

 15-2x1^ = 12 ft., and the length of a strip must be at 

 least 13 ft., or 4 1 /fj yd.; hence, 1 strip may be obtained 

 from a single roll, or 16-r4} = 3 strips from a double 

 roll. The length of the room in half yards is (20 v 3) x 2 

 = 13^j; hence, allowing the paper to extend 6 in. beyond 

 the inner edge of the border, at both ends of the room, 

 12 strips will be required. The number of double rolls 

 required will be 12^3 = 4 double rolls. Consequently, in 

 this case, there is less waste when the paper runs cross- 

 wise than when it runs lengthwise. 



Since the perimeter of the room is 70 ft., or 23^ yd., 

 23^f8 = 3 single rolls of border for the walls, and the 

 same amount for the ceiling will be required. Therefore, 

 16 single rolls of paper are required for the walls, 

 4 double rolls for the ceiling, 3 single rolls of border for 

 the walls, and 3 single rolls for the ceiling. 



