CHAPTER VIII. MEASUREMENTS AND REVIEW

84. Linear Measure

[Use pencil only when needed.]

1. Name the measure commonly used in finding the length of cloth. In finding its width.

2. What measure is used for the depth of a building lot from front to back? For the width of a field? For the distances between cities?

3. Draw three lines. Make the first 1 inch long, the second 1 foot long, and the third 1 yard long.

4. Pace, and then measure, a distance 1 rod long.

5. Name a place 1 mile from your schoolhouse.

6. Try to write from memory the table of linear measure; then compare your table with the one at the end of the book.

22. The distance between two telephone poles is 2 rods. How many feet of wire are required for a single wire between them?

23. A garden is 30 feet wide and 60 feet deep. What are its dimensions in yards?

24. A sidewalk is 183 yards long. Find its length in feet.

*25. A field is 20 rods wide and 40 rods long. What is its perimeter in feet?

*26. Find the perimeter in feet of a field of a mile wide and of a mile long.

1. This is a plan for a home garden in which part of the land is used for vegetables and strawberries and part for flowers. Name the length and width of the entire garden. Of the vegetable garden. Of the strawberry bed.

2. Name the length and width of each flower bed.

3. How many feet of fencing are required to enclose the garden?

4. Find how many feet of string are required to enclose each of the flower beds, if an allowance of 1 feet is made on each bed for tying the string to the corner pegs.

5. Plants are to be set out in rows running lengthwise of the strawberry bed. Each row is to have an allowance of 2 feet of the width of the bed. The bed is 8 feet wide. How many rows can

be set out?

6. Each row is 18 feet long. With an allowance of 11⁄2 feet for each plant, how many plants can be set out in each row in the strawberry bed?

7. Find the total number of strawberry plants required.

86. Drawing Plans

In order to have the dimensions in the right proportion, plans are drawn to a scale; that is, each distance in the plan stands for a given distance in the object represented by the drawing.

I

[Use pencil for drawings only.]

1. The following line represents the length of a walk. Each inch in the line stands for a distance of 20 feet in the walk. What is the length of the walk?

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2. How long a line is required to represent a distance of 40 feet, if each inch in the line stands for a distance of 10 feet?

Name, and then draw, the length of line required to represent:

3. A distance of 25 feet drawn to a scale of 5 feet to an inch. 4. A distance of 42 feet drawn to a scale of 6 feet to an inch. 5. A distance of 100 feet drawn to a scale of 12 feet to an inch. 6. A distance of 14 feet drawn to a scale of 1 foot to inch. 7. A distance of 24 feet drawn to a scale of 1 foot to inch.

*8. Draw the length of line required to represent a distance of 40 feet drawn to a scale of 1 foot to of an inch.

1. A plan is to be drawn of a rectangular schoolroom 24 feet wide and 30 feet long. How wide should the plan be drawn if the scale used is 6 feet to an inch? How long should the plan be?

2. What are the dimensions of the rectangle required to represent a room 15 feet wide and 20 feet long, drawn to a scale of 5 feet to an inch?

3. A school playground is a rectangle 120 feet wide and 200 feet long. Draw a plan of it to a scale of 40 feet to an inch.

4. Draw the floor plan of a playhouse containing one room 10 feet by 12 feet. Use the scale of 1 foot to of an inch.

5. Draw, to a scale of 1 foot to 3 of an inch, a rectangle to represent a flower garden 8 feet wide and 16 feet long.

*6. A garden 9 feet wide and 11 feet long is divided into 4 beds of equal size with paths 1 foot wide separating them. Make a rough sketch of the garden and then draw a careful plan of it to a scale of 1 foot to of an inch.

87. Square Measure

[Use pencil only when needed.] In measuring surfaces, square units are often used. In measuring the surface of a sheet of paper, it is convenient to use the square inch. In measuring the floor space in a room or the area of a building lot, the square foot and the square yard are used.

1. Name a surface commonly measured by the acre. By the square mile.

2. Draw on your blackboard a square inch, a square foot, and a square yard. Learn all that you can about them.

SQUARE MEASURE

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3. A square rod may be thought of as a square 16 feet on a side. With crayon, draw a square rod on your schoolroom floor.

4. How many square inches are there in a square foot? (Show by drawing.)

5. How many square feet equal a square yard? (Mark in drawing.)

6. Learn this table if you do not already know it:

17. A porch floor contains 10 square yards. How many square feet does it contain?

18. Matting is to be laid on a bedroom floor covering 180 sq. ft. An allowance of 1 square yard of matting is to be made for turning in the ends of the strips. Find the number of square yards required, if it is laid without waste.

*19. A hardwood floor costs 35¢ a square foot; linoleum, $1.40 a square yard. Find how much expense is saved by laying the linoleum, instead of a hardwood floor, in a kitchen requiring 15 square yards.