40 RODS 20 ROOS 20 RODS 40 RODS 20 RODS 10 ROOS IO RODS 40 RODS 40 RODS A truck farmer owns a tract of land with the dimensions shown in the diagram. 7. How many acres are there in the whole tract of land? For convenience in raising different kinds of vegetables, the farmer divided his farm into plots or small fields with the dimensions as indicated in the diagram. 8. How many acres are there in each of the large squares? 9. How many acres are there in each of the small squares? 10. Each of the narrow rectangular strips contains how many acres? Show two ways of finding the area of one of these rectangular plots. 11. Mr. Dorsey's farm is 160 rods long and 80 rods wide. How many acres does it contain? 12. How many acres are there in a rectangular field a quarter of a mile long and a half of a quarter of a mile wide? 13. The deed to a certain farm states that the title to the east half of the southwest quarter of section 12 in a certain township has been transferred to the owner. How many acres are there in this farm? How much did the farm cost at $125 an acre? 14. Draw a diagram of a township and locate the portion of the twelfth section described in Problem 13. 15. How many acres are there in a garden plot 330 feet long and 165 feet wide? 16. How many acres are there in a truck field 40 rods long and 32 rods wide? Exercise 14. Gardening 1. Harry had a plot of potatoes 21 feet by 260 feet. What part of an acre was his plot? 2. He raised 24 bushels of potatoes and sold them at $1.75 per bushel. His expenses were $1.85. What was his profit? Find the profit per acre at the same rate. 3. Mable had a garden plot 165 feet by 33 feet. What part of an acre was her plot? 4. She raised onions and sold them as follows: August 31, 6 bags at 90 cents; October 4, 10 bags at $1.60; November 10, 15 bags at $2.00; November 27, 5 bags at $2.20. What were her total receipts? At the same rate what would have been the receipts of an acre of ground? 5. Henry cultivated 495 square rods of corn. How many acres did he have? His net profit was $111.03. Find his average net profit per acre. 6. Elizabeth cultivated a plot of corn 20 rods by 8 rods. What was the size of her plot in acres? Her net profit amounted to $34.35. Her receipts were $45.35. Find her expenses. 7. Arthur grew pickle onions in a garden 33 feet by 132 feet. What fraction of an acre did he cultivate? His receipts were $67.67. His expenses were $18.25. At this rate what would have been his net profit on one acre of ground? 8. Hilda cultivated 1.2 square rods of flowers. Her receipts were $14.95. Find her receipts per square rod. Find the receipts per acre at that rate. 9. Mildred cultivated a plot 42 feet by 352 feet and cleared $12.12. Had she cultivated a whole acre with equal success, what profit would she have made? 10. Herman made a profit of $20.02 on a garden plot 77 feet by 29 feet. What would have been his profit on an acre of ground at the same rate? -16 Exercise 15. Scale Drawings The maps in our geographies, the working drawings in our manual training work, the drawings for models of machines and the house plans for our architects are all drawn to a scale. When we wish to make a reduced drawing of any object, we must decide on a scale that will enable us to get the drawing on the space which we have allowed for it. -12" 1. Make a scale drawing of a rectangle 16 inches long and 12 inches wide. We cannot draw this rectangle on a page of this book, so we must decide upon a scale. If we take a scale of 1" on the drawing=8" on the rectangle, how long will the drawing be? Using the same scale, how wide will the drawing be? The drawing at the left rep resents the rectangle drawn to SCALE 1"-8" the scale of 1"=8". 2. Make a drawing, to a scale, of a g' garden plot 12 feet long and 9 feet wide. The garden plot is larger than the rectangle, hence we must use a smaller scale. The scale drawing at the right uses the scale "=1'. If l" represents l' on the garden, how long should the drawing be made? How wide? 3. The width of the drawing is what SCALE=1 fraction of the real width of the garden? 4. Draw a plan of the garden plot described in Problem 2 to the scale of 1"=1'. Express this scale in a fractional form. 5. Draw on paper a plan of one of the blackboards in your room to a scale of 1" =1'. 20' 15 6. The drawing at the left represents the floor plan of a garage. Measure the width of this drawing and state the scale to which it was drawn. (1"= ? feet.) 7. How much was the cost of putting a concrete floor in this garage at 15 cents per square foot? 8. Make a drawing to a scale of a rug 9 feet by 12 feet. 9. Draw a plan of your school room to a scale of "=1', locating accurately the teacher's and pupils' desks. Х Х X Х X Х x X Х Х Х х x x 80FT This drawing? represents a fruit and vegetable garden. 10. Measure the VEGETABLE lines in the draw GARDEN ing and by means 40FT.X80FT. of the dimensions that are given find the scale of the drawing. 11. By means of 60 FT. 40 IT. the scale (1" =40') find the length and width of the fruit garden. Give the dimensions of the vegetable garden. 1From a Bulletin issued by the U. S. Department of Agriculture. х y X Х 12. The crosses represent grape vines set around the outside of the whole tract. By means of the scale find how far apart these grape vines are set. 13. How far apart are the rows of trees in the fruit garden? How far apart are the trees in each row? Measure from the center of one tree to the center of another. 14. Draw a plan of a baseball diamond, using a scale of 1" to the foot. 15. Draw a plan of your home and yard, using į" to a foot. Exercise 16. Maps TOLEDO CLEVELAND COLUMBUS DAYTON CINCINNATI The map of Ohio is dr to a scale of 1" = 150 mile. 1. Measure the distance from OHIO Cleveland to Toledo on your ruler. Then use the scale of 1" = 150 miles and compute the distance in a straight line from Toledo to Cleveland. Check your measurements by the distance given in the table following Problem 3. Scale 1"=150 Mi. 2. In the same way find the distances from Cleveland to Columbus; Columbus to Dayton; Toledo to Cincinnati; Cleveland to Cincinnati and Cincinnati to Columbus. The distance by rail between any of these cities will be longer than the distance measured in a straight line. 3. How wide is the state of Ohio from Indiana line to the Pennsylvania line? Approximate Distances Toledo to Cleveland 95 miles. Toledo to Cincinnati 180 miles. Cleveland to Columbus 125 miles. Cleveland to Cincinnati 215 miles. Columbus to Dayton 65 miles. Cincinnati to Columbus 95 miles. |