PART II. ARITHMETICAL QUESTIONS. Answers to Questions on Page 27. (1.) 61,200. (2.) 69,420. (5.) 64. (6.) 7000 (7). (9.) 36° and 144 (10.) 27. (12.) 151° 45′ and 66° 44′ 8′′. 72° 18′ 6′′. (14.) 55°, the 1st same straight line. (4.) 72°. (3.) 948. Answers to Questions on Page 55. (1.) 30° and 60°. (2.) 45°, 45°, and 90°. (3.) 133°. (4.) 155°, 25°, and 155°. (5.) 98° 32′ 32′′. (6.) 122° 46' 15", 84° 13′ 45′′, 153. (7.) 169° 14" and 10° 59' 46". (8.) 77° 22′ 7′′. (9.) 108°. (10.) 120 (11.) 1284. (12.) 135°. 120°. 72°, 72°. Answers to Questions on Page 106. (13.) 36°, (1.) 19°. (2) 108. (3.) 34°. (4.) 145° and 93°. (5.) Two angles are (7-) (27 +95) = 61, / 135) =119, (135 + 27) 77° and 103°. (6.) 60°. (95 + 103)=99, (103 + = 81. M AREAS. SECTION I.-Measurement of Areas. (Page 136.) 1. Find the area in acres of a square whose side is 956 links. 956 956 9'13936 4 *55744 40 22.29760 Ans. 9 acres 22 poles. 2. Of a square whose side is 15 chains 67 links. 1567 links. 1567 24'55489 4 2.21956 40 8.78240 Ans. 24 ac. 2 rds. 8.78 poles. 3. What is the side of a square whose area is 14 acres 1 rood 24 perches ? 6'96'96 yds. (264 yds. 4 46) 296 296 524) 2096 2096 4. A square field cost £9144, at £640 per acre : what is the length of its side in yards? 9144 ÷ 640 = 14.2875 acres 5. Find the area of a parallelogram, the length being 12.25 and breadth or height 8.5 ft. 12.25 X 8.5 104 125 square feet. 6. Find the area of a rectangular board whose length is 12 ft. and breadth 9 in. 12.5 X 75 9'375 or 9 square feet. 7. Find the area of a piece of land, in the form of a rhombus, its length being 6·20 chains and perpendicular breadth 5'45. Area = 5°45 6.2 33'79 square chains 3 379 acres = 3 acres I rood 20.64 poles. 8. Find the number of square yards in a parallelogram whose length is 37 ft. and height 5 ft. 5 in. X 37 × 51 21 square yards. 9. A door is 7 ft. 3 in. long and 3 ft. 6 in. broad: required its area and cost at 2s. 3d. per square foot. Area 7.25 X 3'5 = 25°375. Cost 25 375 at 2s. 3d. = £2 175. 1d. 10. A floor 29 ft. 2 in. long cost £20 1s. old. paving at 6s. 9d. per square yard: find its breadth. 9625 162 = 5913 sq. yds.=77400 in. the area 77400 ÷ 350 = 221 in. or 18ft. 54 in.the breadth. yards wide will 11. How many yards of carpet cover a room 14 ft. 3 in. by 9ft. 41 in.? 14 ft. 3 in. = 171 in., 9 ft. 4 in. = 112 in., and 2 yd. = 27 in. 171 X 112 27 = 712 in. = 19 yds. 2 ft. 19 yds. 2 ft. 4 in. 12. How many square feet are there in a triangle whose base is 40 ft. and perpendicular 30 ft. 40 X 302 = 600 sq. ft. 13. Find the number of square yards in a triangle whose base is 49 ft. and height 251 ft. × 49 × 25 ÷ 9 68.7361 sqr. yds. = 14. Find the area of a triangle whose base is 18 ft. 4 in. and height 11 ft. 10 in. 9 2 II IO 100 IO 778 Ft. 108 5 8 |