7 ft. by 21 ft., and six doors of the same dimensions as the windows?

8. Find the cost of plastering the walls and ceiling of a room which is 36 ft. long, 27 ft. wide, and 9 ft. high, at 25¢ per square yard.

9. My study is 18 ft. long, 16 ft. wide, 81⁄2 ft. high, and contains 1 door 3 ft. by 7 ft., and 2 windows, each 3 ft. by 6 ft. The base-board is 9 in. high. What will it cost, at 36 per sq. yd., to plaster it, making full deduction for openings?

10. At 35 cents a sq. yard, what will be the cost of plastering the walls and ceiling of a room 6 yd. long, 5 yd. wide, and 3 yd. high, an allowance of 20 sq. yards being made for openings, etc.?

11. Find the cost of plastering a room 18 ft. square and 10 ft. high, at 25 cents a sq. yard, being deducted for openings?

12. A close fence 6 ft. high surrounds a vacant lot 450 ft. by 380 ft. At 7 cents a sq. yard, what will be the cost of painting both sides of the fence?

13. Find the cost at 18 per sq. yard to plaster the sides and bottom of a cistern 8 ft. 6 in. square, and 9 ft. deep.

14. Find the square yards of plastering on a room 20 ft. long, 17 ft. 6 in. wide, 9 ft. high. Allow for 6 windows, each 7 ft. 6 in. high, 3 ft. wide, and 4 doors, each 7 ft. high and 3 ft. 9 in. wide.

PAPERING WALLS.

177. Wall-paper is sold by the roll. 8 yd. long; a Double Roll, 16 yd. long. by the lineal yard.

A Single Roll is
Borders are sold

The number of rolls needed for a room is found by

dividing the area of the space to be papered by the area of The width of wall-paper is commonly 18 in.

one roll.

NOTES.

Unless otherwise stated, a roll is considered as 8 yd. long and 18 in. wide.

Dealers in wall-paper do not sell a part of a roll. If a part of a roll is needed, a whole roll must be purchased.

1. What would it cost to paper the walls of a room 18 ft. long, 12 ft. wide, and 9 ft. high, with paper 8 yd. to the roll and yd. wide, at 45¢ a roll?

2. How many strips of paper, and how many double rolls, will paper the sides of a room 15 ft. long, 12 ft. wide, and 8 ft. high, each roll being 14 ft. wide, and 16 yd. long, no allowance being made for matching?

3. How many double rolls of paper 16 yd. to the roll, yd. wide, will be required to paper the walls and ceiling of a room 25 ft. long, 10 ft. wide, and 10 ft. high, 110 sq. ft. being deducted for doors, windows, etc?

4. How many rolls of paper will be required for the walls of a room 16 ft. by 20 ft., and 9 ft. high above the base-board, allowing for 3 doors, each 3 ft. by 7 ft., and 3 windows, each 3 ft. by 6 ft. ?

5. What will be the cost of the paper and border for the above room at 30 cents a roll for the paper, and 15 cents a yard for the border?

6. How many rolls of paper must be purchased to paper the walls and ceiling of a library, 12 ft. long, 10 ft. 6 in. wide, and 8 ft. high, the base-board being 6 in. wide, and the border 1 ft. wide, with paper yd. wide and 8 yd. long, the paper extending from the border to the base-board?

BOARD MEASURE.

178. A Board Foot is a square foot of the surface of a board, 1 inch thick, or less.

To find the number of board feet in lumber that is more than one inch thick, we must multiply the number of board feet in the surface by the number of inches in the thickness.

=

A board 10 ft. long, 1 ft. wide, and 1 in. thick or less contains 10 board feet; but a beam 10 ft. long, 1 ft. wide, and 8 in. thick contains 8 times 10 board feet 80 board feet. To find the number of board feet in a tapering board, the average width must be found by taking the sum of the widths of the two ends. Thus a board 10 ft. long, and 12 in. wide at one end, and 6 in. wide at the other, contains as many board feet as if it had a uniform width of 9 inches. (12 + 6) ÷ 2 = 9.

=

179. The number of board feet Length (in feet) X Width (in feet) × Thickness (in inches).

NOTE. When the thickness is one inch or less, the number of board feet is the product of the length and width in feet.

1. How many board feet in a board 15 ft. long, 15 in. wide, and 1 inch thick?

2. How many board feet would there be in the board (Ex. 1) if it were in. thick? 2 in. thick? 11⁄2 in. thick?

3. How many feet of lumber one inch thick will be required for a tight board fence 6 ft. high around a yard 4 rods square

?

4. How much lumber (Ex. 3) will be required for an open board fence, 4 boards high, boards 8 inches wide, and 5 inches apart?

5. I need 213 planks 4 ft. 8 in. long, 1 ft. wide, and 2 inches thick, to build a sidewalk. How much will they cost at $13 a thousand?

6. How many feet of lumber will it take to build a line fence 168 ft. long, the fence being 5 boards high, and the boards 12 ft. long and 6 in. wide?

7. What will be the cost of 10 planks each 12 ft. long, 10 in. wide, and 3 in. thick at $16 per M.?

8. Find the cost of a stick of timber 8 in. square, and 40 ft. long, at $18 per M.

9. What is the cost of 8 sticks of timber each 36 ft. long, 10 in. wide, 8 in. thick, at $12 per M.?

10. How many board feet of 2-inch planking will it take to make a box 2 ft. 8 in. long, 2 ft. wide, 1 ft. 6 in. deep inside?

11. Find the cost of 7 planks 12 ft. long, 16 in. wide at one end, and 12 in. at the other, at $.08 a board foot.

12. At $18 per M., find the cost of flooring a room 21 ft. by 16 ft., allowing of the lumber for matching.

NOTE. Find area of floor and add §.

13. Find the cost of a board 20 ft. long, 22 in. wide at one end, and tapering to 16 in. at the other, and 11⁄2 in. thick, at $30 per M.?

14. At $12 per M., what will be the cost of 2-inch plank for a 3 ft. 6 in. sidewalk on the street side of a rectangular corner lot 56 ft. by 106 ft. 6 in. ?

MISCELLANEOUS.

180. 1. My dining-room is 15 ft. long and 12 ft. wide; the walls are 10 ft. high. What will it cost to paper the walls and ceiling with paper 1 ft. wide, if there are 8 yd. in a roll, and each roll costs $.37. ( allowed for openings.)

2. What will a carpet for the dining-room (Ex. 1) cost me at $.75 a yd., carpet yd. wide?

3. There are three windows in the dining-room. What will it cost to furnish them with shades at $1.10 each and sash-curtains at $1.37 each?

4. I bought a table at $14.50, six chairs at $2.75 each, a sideboard for $30, and other furniture for $28.97. I also spent $20 for new table linen; what did it all cost? 5. What was the entire cost of refurnishing my dining

room?

6. What will it cost to carpet a room which is 24 ft. long, and 18 ft. wide, with Brussels carpet 1 yd. wide; no waste in matching, at $1 per yard?

7. Find the cost of plastering sides and ceiling of a room 26 ft. long, 13 ft. wide, 13 ft. high, at 9 cents a square yard, allowing 25 sq. yd. for openings.

8. What will it cost to build a cement walk 40 ft. long, and 6 ft. wide, at $1.25 per sq. yd.?

9. A field, containing 8 acres, is 60 rd. long. How wide is it?

10. How many yards of carpet will cover a floor 18 ft. long, 16 ft. wide? Carpet one yard wide, strips to run lengthwise of room.

How many yards if the strips run crosswise of the room?

11. Find the cost of fencing a rectangular corner lot 68 ft. by 130 ft., the street fence costing 54 cts. a yard, and the line fences 25 cents a yard, but only half of the cost of the latter to be charged to the lot.

12. Find the cost of a carpet 3 of a yd. wide, at $1.50 per lineal yard, for a room 20 ft. long and 18 ft. wide, strips running lengthwise, and allowing a waste of д of a yd. on each strip for matching.

13. What is the breadth of a rectangular lot whose area is 75 sq. ch., and the length 9 ch. ?

14. What is the circumference of a circle whose radius is 9 ft. ?