The area of a triangle is equal to one half the product of its base and its altitude. 2. What is the area of a triangular piece of cardboard whose base is 6 inches and whose altitude is 31 inches? 3. A patchwork bedspread is made up of 378 pieces, each in the shape of a right-triangle, whose base is 4 inches and whose altitude is 4 inches. How many square feet does it cover? How many square yards? 4. The two short sides of a corner cupboard are each 1 foot 8 inches, inside measurement. What is the area of the bottom shelf? 5. Mr. Jamieson has a wood lot in the shape of a triangle. One side is 40 rods, and the shortest distance from this side to the opposite angle is 36 rods. How many acres in the lot? 6. A farmer has a triangular pasture whose sides are each 80 rods. How much will it cost to fence it with wire fencing at $2.88 per bale of 10 rods? 7. The distance from the middle of one of the sides to the opposite angle of the pasture in problem 6 is 89.44 rods. What is the area in square rods? In acres? ORAL EXERCISES 1. Find the cost per dozen when the price of one is : 619 $3 371 $1.25 $13 2. Find the price of one when the cost per dozen is: $21 $20 $37.50 3. Find the rate per dozen when 4 articles are sold for 15; 6 for 75; 3 for 10; 2 for $1.25; 8 for 20. $3 4. Tell the price of one when the cost per hundred is: $2.50 $11 $8.50 $40 $50 NOTE. The following exercise may be assigned for home work. Copy the plan of the garden on a scale of 1" to 3'. Write in each plot its area as found. 1. The garden is in the form of what figure? What are its dimensions? Its area? 2. At 11 a foot, how much will it cost to inclose the garden with a wire fence? 3. Find the area covered by the grass plot. THE FLOWER GARDEN 4. What is the shape of the bed of foliage plants? Its area? Give the numbers of other plots of the same shape. 5. What name is given to the plots devoted to shrubs? Find the area of each plot. Of all. 6. What is the shape of the beds of red geraniums? The area of each? Of both? 7. Of what shape are the beds of pansies? What is the area of each? Of both? 8. Of what shape are the beds of purple asters? What is the area of each? Give the numbers of all other beds of the same shape and area. 9. Find the area devoted to pink asters; to white asters; to daisies; to forget-me-nots; to nasturtiums; to poppies; to sweet peas; to violets. 10. Find the total area of the flower beds. THE VEGETABLE GARDEN 11. Find the difference in area of the two plots of poThe area of both plots. tatoes. 12. What is the total area devoted to onions? 13. Of what shape are the plots of carrots? What is the area of each plot? Of both? 14. Of what shape are the patches of sweet corn? The area of each? 15. Find the area devoted to beans; to beets; to cabbages; to celery; to cucumbers; to lettuce; to parsley; to parsnips; to squashes; to tomatoes; to turnips. 16. At a foot, how much will it cost to place wire netting around the cucumber and the squash beds? 17. Find the total area of the vegetable beds. THE WHOLE GARDEN 18. Find the total area of flower and vegetable beds. 19. Find the total area of garden and grass plots. 20. From the answers to problems 1 and 19, find the area covered by paths. PLASTERING Plastering is usually estimated by the square yard. In estimating work to be done, every contractor follows a rule which experience has taught him to be reliable. The general custom is to deduct from the total area of the walls and ceiling one half the area of openings, reckoning to the nearest yard. In solving problems, make your practice in regard to methods and prices conform to local conditions. Builders are always willing to furnish any information desired. 1. How many square yards in the walls and ceiling of a room 21 ft. long, 18 ft. wide, and 12 ft. high? Ceiling 18' DIAGRAM OF WALLS AND CEILING This may be illustrated by a pasteboard box without cover. The walls form a rectangle whose length is the perimeter of the room. What are the dimensions of the rectangle formed by the walls? By the ceiling? 78 × 12 = 21 × 18 = 936, no. of sq. ft. in walls 398, no. of sq. ft. in ceiling 1334, no. of sq. ft. in walls and ceiling 9)1334 1483, no. of sq. yd. in walls and ceiling The plasterer would call this 148 sq. yd. Find the number of square yards in the walls and ceil |