Section 2.6 Formulas and Applications of Geometry 153 Concept 1: Literal Equations and Formulas For Exercises 9–40, solve for the indicated variable. (See Examples 1–2.) 9. 10. 11. P a b c for a P a b c for b x y z for y c d e for d p 250 q for q y 35 x for x 12. 13. 14. A bh for b d rt for r PV nrt for t 15. 16. 17. P1V1 P2V2 for V1 x y 5 for x x y 2 for y 18. 19. 20. 3x y 19 for y x 6y 10 for x 2x 3y 6 for y 21. 22. 23. 7x 3y 1 for y 2x y 9 for x 3x y 13 for x 24. 25. 26. 4x 3y 12 for y 6x 3y 4 for y ax by c for y 27. 28. 29. ax by c for x A P11 rt2 for t P 21L w2 for L 30. 31. 32. 33. 34. 35. a S Q for a 36. 37. 38. GMm d P I 2 for m 2R for R 39. 40. F A 1 3 M 1a b c2 for c a b 2 for a Q x y 2 a 21b c2 for c 31x y2 z for x for y Concept 2: Geometry Applications For Exercises 41–62, use the problem-solving flowchart (page 129) from Section 2.4. 2w 5 w 2w 20 w 41. The perimeter of a rectangular garden is 24 ft. The length is 2 ft more than the width. Find the length and the width of the garden. (See Example 3.) 42. In a small rectangular wallet photo, the width is 7 cm less than the length. If the border (perimeter) of the photo is 34 cm, find the length and width. 43. The length of a rectangular parking area is four times the width.The perimeter is 300 yd. Find the length and width of the parking area. 12 44. The width of Jason’s workbench is the length. The perimeter is 240 in. Find the length and the width of the workbench. 45. A builder buys a rectangular lot of land such that the length is 5 m less than two times the width. If the perimeter is 590 m, find the length and the width. 46. The perimeter of a rectangular pool is 140 yd. If the length is 20 yd less than twice the width, find the length and the width. 47. A triangular parking lot has two sides that are the same length and the third side is 5 m longer. If the perimeter is 71 m, find the lengths of the sides. 48. The perimeter of a triangle is 16 ft. One side is 3 ft longer than the shortest side.The third side is 1 ft longer than the shortest side. Find the lengths of all the sides.
miller_beginning_intermediate_algebra_4e_ch1_3
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