Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ...carry twice as much as you; but if I gave you one we should carry equal ( 1 burdens." Tell me their burdens, 0 most learned master of geometry. (Attributed to Euclid, about 300 B.C.) 32. The length of a football field is 140 feet greater than its width. If a strip 20 feet wide be added to each end and each side the area will be increased by 18,400 square feet. Find the dimensions of the field. 33. A rectangular piece of ground is 13 feet longer than it is wide. If 2 feet were added to its width while its length remains unchanged its area would be increased by 40 square feet. Find the length of the two sides. (Fig. 24.) 34. A rectangle is twice as long as it is wide. If 5 feet were taken from its length and added to its width the rectangle would be square. What are its dimensions? (Fig. 25.) 35. The width of a room is f of its length. If 3 feet were taken from the length and the same amount added to its width the room would be square. What are its dimensions? (Fig. 26.) 36. At a school entertainment the prices of admission were fixed at 50 cents for adults, and 35 cents for children. The number of paid admissions was 100, and the receipts were $39.50. How many children were included in the 100 who paid admission? From Klein's Famous Problems in Geometry, translated by Beman and Smith. 37. A rectangular field has the same area as each of two other fields, one of which is 6 rods longer and 2 rods narrower than the given field, while the other is 3 rods shorter and 2 rods wider than the given field. Find the dimensions of the given field. 38. Two trains, one twice the length of the other, are running on parallel tracks. The rate of the longer train is 44 feet per second, while that of the shorter is 66 feet per second. When going in opposite directions it ...
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