SOLUTION. Since in 1 rod there are 5 yards, in 5 rods there are 5 times 5 yards. Five times 5 yards are 25 yards, and five times yards, or 2 yards, which added to 25 yards make 271⁄2

yard yards.

CONCLUSION.-Therefore, in 5 rods there are 27 yards.

6. How many yards in 4 rods? In 6 rd.? In 9 rd.? 7. How many rods in 15 yards?

SOLUTION. Since there are 5 yards in 1 rod, in 15 yards there are as many rods as 5 is contained times in 15.

2 halves, 5 yards 5 times 2 halves, which is 15 times 2 halves, which is 30 halves.

11 halves; and 15 yards

11 halves are contained in 30 halves 2 times, with a remainder of 8

CONCLUSION.-Therefore, in 15 yards there are 2 rods and 4 yards. 8. How many rods in 25 yards? In 34 yd.? In 44 yd.?

8. Reduce 5 mi. 138 rd. 3 yd. to feet.

28686 ft.

9. A steamboat moves at the rate of 70 feet in a second:

how far will it go in 3630 seconds?

48 mi. 40 rd.

10. If a horse can travel 1 mile in 6 minutes, how many

yards will he travel in an hour?

17600 yd.

11. How many rods from Cincinnati to Columbus, the distance being 120 miles? 38400 rd.

12. The circumference of a carriage-wheel is 15 feet: how many times will it revolve in going 7 miles?

2464.

69. Land or Square Measure is used in measuring any thing which has both length and breadth.

A Square is a figure having four equal sides and four right angles, or equal corners. (Teacher explain.)

A Square Inch is a square, each side of which is one inch long.

A Square Foot is a square, each side of which is a foot long.

1 inch.

1 inch.

One square inch.

A Square Yard is a square, each side of which is a yard long.

The figure shows that a square yard, that is, 3 feet square, contains 9 square feet.

3 feet.

One

sq. ft.

3 feet.

By 3 feet square, we mean a square, each side of which is three feet; but 3 square feet are 3 small squares, each a foot long and a foot wide. 3 feet square contains 9 square feet. (Teacher explain.)

A Rectangle is a figure having four sides and four right angles.

The Area of a figure is the number of times it contains the unit of measure.

The Unit of Measure for surfaces is a

square whose side is a linear unit; as, a square inch, a square yard.

70. TO FIND THE AREA OF A Rectangle.—Multiply the length by the breadth.

TO FIND THE LENGTH.-Divide the area by the breadth. TO FIND THE BREADTH.-Divide the area by the length.

1. How many square feet in 3 square yards? yd.? In 5 sq. yd.?

In 2 sq.

2. How many square yards in 18 square feet? In 45 sq. ft.? In 81 sq. ft.?

3. How many square inches in a piece of paper six inches long and four inches wide?

4. How many square yards in a roof seven yards long and three yards wide?

5. How many square rods in a square piece of ground each side of which measures eight rods?

6. How many square yards in the floor of a room 18 feet long and 15 feet wide?

EXAMPLES.

1. How many square inches in 4 sq. yd. 8 sq. ft. 32 sq. in.?

6368 sq. in.

2. Reduce 186243 square inches to higher denominations. 143 sq. yd. 6 sq. ft. 51 sq. in.

sq. rd. to square rods. 570 sq. rd.

3. Reduce 3 A. 90
4. Reduce 7800 sq. rd. to acres.

5. Reduce 6482 square inches to

tions.

48 A. 120 sq. rd.

higher denomina

5 sq. yd. 2 sq. in.

6. How many square inches in an area of 6 square

yards 7 square feet?

7. Reduce 14 A. to square rods.

8784 sq. in.

2240 sq. rd.

8. Reduce 2 A. 64 sq. rd. to square rods.
9. Reduce 61540 sq. rd. to acres.

384 A.

100 sq. rd.

10. Reduce 9 A. 20 sq. rd. to square rods. 1460 sq. rd. 11. Find the area of a rectangle 14 feet long and 3 feet broad. 4 sq. yd. 6 sq. ft. 12. What is the area of a floor 12 feet long and 9 feet wide? 13. How many square yards in the floor of a hall 42 feet long and 18 feet wide? 84 sq. yd.

12 sq. yd.

14. How many acres in a field 60 rods long and 32 rods wide?

12 A. 15. What is the area of a gravel walk 30 yards long and 4 feet wide? 40 sq. yd.

NOTE. Reduce the numbers to the same denomination before multiplying.

16. A board is 10 ft. 6 in. long and 10 in. wide: what is its area? 8 sq. ft. 108 sq. in. 17. The area of a field is 5 A. 88 sq. rd.; its length is 37 rd.

what is its breadth?

24 rd.

18. The area covered by a house is 72 sq. yd.; its breadth is 24 feet: what is its length? 27 ft.

19. The area of a plank is 21 sq. ft.; its breadth is 18 in.: what is its length? 14 ft.

20. How many square yards of plastering does it require to cover one side of a room 15 ft. long and 9 ft. high? How many to cover the two sides? 30 sq. yd.

21. How many square yards of plastering in the walls and ceiling of a room 18 ft. long, 15 ft. wide, and 10 ft. high? 103 sq. yd. 3 sq. ft. 22. How many square yards of carpeting will it take to cover the floor of a room which is 16 ft. long by 12 feet wide? 21 sq. yd. 3 sq. ft. 23. How many square yards of paper will cover the walls of a parlor 21 ft. long, 15 ft. wide, and 12 ft. high? How many rolls of 6 square yards each?

16 rolls.