A20 APPENDIX Review 27. Find the area A of a rectangle with length 6 inches and width 7 inches. 28. Find the area A of a rectangle with length 9 centimeters and width 4 centimeters. 29. Find the area A of a triangle with height 14 inches and base 4 inches. 30. Find the area A of a triangle with height 9 centimeters and base 4 centimeters. 31. Find the area A and circumference C of a circle of radius 5 meters. 32. Find the area A and circumference C of a circle of radius 2 feet. 33. Find the volume V and surface area S of a closed rectangular box with length 6 feet, width 8 feet, and height 5 feet. 34. Find the volume V and surface area S of a closed rectangular box with length 9 inches, width 4 inches, and height 8 inches. 35. Find the volume V and surface area S of a sphere of radius 5 centimeters. 36. Find the volume V and surface area S of a sphere of radius 3 feet. 37. Find the volume V and surface area S of a closed right circular cylinder with radius 9 inches and height 8 inches. 38. Find the volume V and surface area S of a closed right circular cylinder with radius 8 inches and height 9 inches. In Problems 39–42, find the area of the shaded region. 39. 2 2 40. 2 2 41. 2 2 42. 2 2 In Problems 43–46, the triangles in each pair are similar. Find the missing length x and the missing angles A, B, and C. 43. 8 B A C x 2 4 305 905 605 44. 6 B A C x 12 16 755 755 305 45. 30 x B A C 20 45 60 95 25 46. 8 x C A B 10 50 50 5 125 Applications and Extensions 47. How many feet has a wheel with a diameter of 16 inches traveled after four revolutions? 48. How many revolutions will a circular disk with a diameter of 4 feet have completed after it has rolled 20 feet? 49. In the figure shown, ABCD is a square, with each side of length 6 feet. The width of the border (shaded portion) between the outer square EFGH and ABCD is 2 feet. Find the area of the border. 50. Refer to the figure. Square ABCD has an area of 100 square feet; square BEFG has an area of 16 square feet. What is the area of the triangle CGF? 51. Architecture A Norman window consists of a rectangle surmounted by a semicircle. Find the area of the Norman window shown in the figure. How much wood frame is needed to enclose the window? G H 2 ft 6 ft C D B A F E B E G F A C D 6' 4'
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