1. How many square inches in square foot?

2. Measure and see how many square inches there are in a square that is 6 inches to the side.

How 3. many square inches are in an oblong 2 inches wide and 6 inches long?

4. The garden is 5 rods wide and 6 rods long; how many square rods in the garden?

5. How many square miles are in a rectangular ranch 4 miles long and 3 miles wide? What is the distance around the ranch?

553. The distance around a rectangle is called its perimeter. The amount of surface is called

its area.

6. What is the perimeter of a rectangle 4 inches wide and 1 foot long?

7. What is the area of a rectangle 2 feet broad and 3 yards long?

554. To find the area of a rectangle :
Multiply the length by the breadth.

555. Written Exercises.

1.

Measure, and prove that a rectangular surface 5

in. by 6 in. has an area of

square inches.

Find the number of square feet in a rectangular surface 4 feet long and 3 feet wide.

A surface

66

66

66

66

=

1 ft. long, 1 ft. wide=1 square foot. four ft. long, 1 ft. wide=4×1 sq. ft.: 4 sq. ft. 4 ft. long, three ft. wide=3× 4 sq. ft.= 12 sq. ft.

2. Find the area of a lot 50 feet by 100 feet.

3. How many acres in a field containing 6 000 square rods?

4. How many acres in a square field, one side of which is 40 rods long?

5. How many square rods are in a field whose area is 12 acres 150 square rods?

556. Oral Exercises.

I. If you had planks 1 foot wide and 12 feet long, how many could you lay side by side on a floor 12 feet square?

2. If you have carpet 3 feet wide and 15 feet long, how many widths or strips will you lay on a floor 15 feet wide and 15 feet long?

3. How many strips 1 yard wide would it take to carpet a floor 12 feet wide?

4.

A floor is 15 feet wide. How many strips of carpet will cover it if each strip is 1

5.

A floor is 12 feet wide.

yard wide? yard wide?

How many strips of carpet

will cover it if each strip is 2 feet wide? 1 foot wide? 11⁄2 feet wide? 1 yard wide?

6. What is the area of your slate?

7. What is the area of a square table 4 feet by 4 feet? 8. What is the area of a square rug whose perimeter is 24 feet?

9. What is the area of a pane of glass 10 inches by 12 inches? a pane 16 by 24 inches?

10. What is the perimeter of a square that contains 4 square feet?

A yard square is square, but a square yard need not be square; if an area is as great as a yard square, it is called a square yard, no matter what its shape may be. The figure 1 represents a square yard and a yard square. The figure 2 represents a square yard, but not a yard square.

Fig. 1.

Fig. 2.

557. Written Exercises.

1. Find the area of a rectangular field 32 rods by 64 rods.

2. A garden is 9 rods long and 5 rods wide. How many square rods in the garden? What is its perimeter ?

3. A lot is 40 feet by 100 feet.

at 2 dollars per square foot?

What is paid for it

4. Find the number of square rods in § of an acre.

11. Since 9 square feet make 1 square yard, and 301 square yards make one square rod, there are

feet in 1 square rod.

square

12. Find the number of square yards in a floor 15 feet wide, 18 feet long.

13. Find the cost, at $1.50 per square yard, of laying tiles in a passage 30 feet long, 9 feet wide.

14. Find the sum of 9 yards square and 9 square yards. 15. What part of a square foot is covered by a brick 8 inches long and 4 inches wide?

16. What part of a square yard is covered by a box 1 foot wide and 11⁄2 feet long?

17. There is a sheet of paper 18 inches long, with an area of 2 square feet. How wide is the sheet?

PERCENTAGE

558. Oral Questions.

I.

A man rode on a train 25 miles for 75 cents; what rate did he pay per mile?

A man rode on a train 300 miles for $9; what rate did he pay per hundred miles?

3. A cotton-picker received $5 for picking 1000 pounds of cotton; at what rate per hundred pounds was he paid?

4. A nickel is how many hundredths of 100 cents? 5. A dime is how many hundredths of a dollar?

6. If

you pay a dime a hundred for chestnuts, how much do you pay for a thousand?

7. When you pay $5 a thousand for shingles, how much do you pay per hundred?

559. Per hundred is called also Per Cent. 5 cents on every hundred cents is 5 per cent, written 5%. 6 apples out of every hundred apples is 18 of the apples, and is written 6% of the apples.

560. The number on which the percentage is reckoned is called the Base.

561. The Rate per cent is the rate per hundred of the Base.