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NOTE. The rule implies that the length and breadth are expressed in the same denomination.

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Scale: 144, 9, 30, 160, 640.

NOTE.-40 Perches 1 Rood (R.); 4 Roods=1 Acre.

Units.

The unit for land is the acre; for plastering, ceiling, etc., it is the sq. yd.; for paving, glazing, and stone-cutting, it is the sq. ft.; for roofing, flooring, and slating, it is a square 10 ft. by 10 ft., or 100 sq. ft.

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1. 54 A. 10 P. to perches (sq. rd.).

2. 624 P. to sq. yds.

3. 5 A. 145 P. to sq. ft.

4. 250 P. 17 sq. yd. to sq. inches.

5. 2 A. 70 P. 30 sq. yd. to sq. inches.

6. 10 sq. yd. 4 sq. ft. 15 sq. in. to sq. inches.

7. 3,737,796 sq. ft. to acres, etc.

8. 3 A. 37 sq. rd. 5 sq. yd. 7 sq. ft. to sq. inches.

9. 295,376 sq. in. to units of .higher denominations. 10. 31 sq. mi. 48 A. to sq. ch.

11. 2,000,000 sq. 1. to acres.

12. 10,800 sq. ch. to sq.

13. of A. to sq.

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miles.

inches.

Process.

× 160 × 121 × 2

144

=

4,878,720 sq. in.

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Hence A.124 sq. rd. 13 sq. yd. 4 sq. ft.

wide.

15. A. to units of lower denominations.

16.

17.

18.

sq. rd. to lower denominations.

A. to sq. chains.

section of land to sq. 1.

19. 25,373,896 sq. 1. to higher denominations.

20. 8 chains to sq. rods.

21. 1 sq. mi. 4 sq. ch. 53 sq. 1. to links.
22. 47,916 sq. ft. to higher denominations.
23. 871,200 sq. ft. to acres.

24. 89,794,172 sq. in. to acres, etc.

25. 20,000 sq. ft. to sq. rods.

PROBLEMS.

Indicate the process first, and abridge the work by cancellation.

How many sq. ft. in it?
How many sq. yds. in it?
Find its area.
its area in sq. in.
Find the sq. rd. in it.
race-course is 6 ft. high.

1. A rectangular piece of land is 40 rd. long and 12 rd. Find the acres in it. 2. A floor is 8 ft. by 16 ft. 3. A ceiling is 17 ft. by 20 ft. 4. The side of a square is 6 feet. 5. A table is 6 ft. by 2 ft. Find 6. A garden is 656 ft. by 93 ft. 7. A fence surrounding a mile How many sq. yd. in it? Find the cost at 10 cents a sq. yd. 8. A room is 20 by 30 feet. How much will it cost to carpet the room with carpet 1 yd. wide at $1.00 per yd.?

9. A field contains 12 acres and is 24 rds. wide.

its length.

Find

10. I bought 10 acres of land at $200 an acre and sold it at 8 cts. a sq. ft. Find the gain.

11. Find the

cost of a piece of oil-cloth 25 feet long and

16 feet 9 inches wide, at 95 cents a square yard.

12. What will it cost to carpet a room 18 feet long and 253 feet wide at $1.25 a yard, the carpet being å yd. wide?

13. A school-room measures as follows: Length, 72 ft.; width, 22 ft.; height, 16 ft. Deduct 245 sq. ft. for doors and windows, and find the cost of plastering at 163 cts. per sq. yd.

14. Show the difference between 6 sq. ft. and 6 feet square. 15. A room is to be plastered and painted; its length is 20 ft., its width 18 ft., its height 12 feet; the rate will be Find the cost of the work.

33 cts. per sq. yd.

16. Find the value of a field 180 rd. long and 94 rd. wide at $18 an acre.

17. How many yds. of carpeting, 3 ft. 6 in. wide, will it take to cover a floor 21 ft. wide and 36 ft. long, the carpet running lengthwise?

18. A room measures 18 ft. × 15 ft. × 10 ft. Find the cost of papering it with paper 24 in. wide at $.85 a roll, 8 yd. in a roll, making a deduction of 20 sq. yd. for openings.

19. A sidewalk is 10 ft. wide, exclusive of the curb, and is 100 ft. long. How many 4 × 8 bricks in it?

20. A 15 by 18 ft. room is to be carpeted. Which will be the cheaper way to run yard-wide strips, lengthwise or breadthwise?

21. A room is 18 ft. wide and 9 ft. high. After deducting from the area of one end two windows 6 ft. × 41 ft., find the number of sq. yd. remaining to be plastered.

22. A rectangular piece of land 1320 yds. long and 2 rods wide was taken for public use. How much was due the

owner at $160 an acre?

23. A barn is roofed with shingles put 6 in. to the weather. Find the cost at $12 per M. if the roof is 60 feet long, each side being 32 feet, the first course along the eaves being doubled. [1000 shingles to 110 sq. feet.]

24. Find the cost of slating a roof 64 ft. 9 in. long and 45 ft. wide at $15.37 per square.

25. How many bricks will pave a sidewalk 25 ft. by 10 ft., a brick measuring 8 in. X 4 in. x 2 in.?

26. How many bricks, set on end, will pave a sidewalk containing one-half the last area?

MEASURES OF VOLUME.

1. A Solid has length, breadth, and thickness.

2. A Rectangular Solid is bounded by six rectangular faces.

3. A Cube has six equal faces and twelve equal edges. 4. Volume, or Solid Contents, of a body is the number of cubic units it contains.

5. If on a rectangle of 12 sq. ft., as a base, we erect a rectangular solid 5 feet high, the structure will contain 3 times

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NOTE.—The rule implies that the three dimensions are all of the same

denomination.

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