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Octagonal Kite

kite

 


One vertex angle of a regular octagon that has side length 4 units is joined with two other vertex angles to form a kite as shown in the above figure. Determine the area of the kite?  Round your answer to the nearest tenth of a unit
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December 12, 2005
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Francois Bonjean. Liege, Belgium
  2. Adrian Atanasiu. Bucharest, Romania
  3. Timothy Yales. Westland, MI
  4. Aristides Kyriakakis.  Thessaloniki, Greece
  5. Radu Ionescu. Montreal, Quebec, Canada.
  6. Charles Keebaugh, Colorado Springs, CO
  7. Katie Grunow. Trinity High School, River Forest, IL
  8. Frank McGartland. Saskatoon, SK., Canada
  9. James Letendre. Southington High School, Southington, CT
  10. Jon Satko. Porterville, CA
  11. Sagar Patel. Brookstone School, Columbus, GA
  12. Brian Hetrick. UNH, Manchester NH
  13. Yan Che. Dartmouth High School, Darthmouth, MA
  14. Abigail Finger. Dartmouth High School, Dartmouth, MA
  15. Shannon Sattler. Arrowhead High School, Hartland, WI
  16. Genoa Warner. Dartmouth High School, Dartmouth, MA
  17. Phillip Ai. Hammarskjold Middle School, East Brunswick, NJ
  18. Alan Leung. Mississippi School for Mathematics & Science, Columbus, MS
  19. Rohit Bollineni, Power Middle School, Farmington Hills, MI
  20. Chris Oaks, Lower Merion High School
  21. David Shi. JLS Middle School, Palo ALto, CA
  22. Jerome Cherry. Mundare, Alberta, Canada
  23. Matthew DeCoste. La Canada Middle School, La Canada, CA
  24. B. Laney. St.luke School, Columbus, GA
  25. Ray Cook. Munroe Falls, OH
  26. George Hatzikiriakos. Southridge School, B.C., Canada
  27. Svadharma Keerthi. South Pasadena, South Pasadena Middle School, CA
  28. Rin Sone. South Pasadena Middle School, CA
  29. Brianna Loo. South Pasadena Middle School. South Pasadena, CA
  30. Bruce Li. Shoulin Temple, Songzhon, China
  31. Marius Damian. Braila, Romania
  32. Harry Siebert. Infineon, Munich, Germany
  33. Ms. Rothermel. Rye Junior High School, Rye, NH
  34. Mike Osterfoss, Moore, SC
  35. Roland Vyncke. Brugge, Belgium
  36. Tom Lindsay
  37. Thomas Robertson. Riverside, RI
  38. Anna Li. Sandburg Middle School, Anoka, MN
  39. Joe Brophy. Boston, MA.
  40. Ben Gieske. Sauk Centre HS, Sauk Centre, MN
  41. Luan Luu. CSU Long Beach, Garden Grove, CA
  42. Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
  43. Becky Britton. St. Luke Middle School, Columbus, GA
  44. Panu Korpela. Naenae Intermediate, Lower Hutt, New Zealand
  45. Andrew Sailor. Osceola Middle School, Ocala, FL
  46. Jennifer Sailor. Osceola Middle School, Ocala, FL
  47. Sarah Chen. Marie Curie Middle School, New York, NY
  48. Leong HoongHan, Bukit Mertajam, Penang, Malaysia
  49. Brad Schallhorn. Arrowhead High School, Hartland, WI
  50. Cong Tian. Sachem North High School, Ronkonkoma, NY
  51. Iver Meng. South Pasadena Middle school
  52. Rachel Bier. Dartmouth High School, Dartmouth, MA
  53. Karina Shaw. Laguna Beach High School, Laguna Beach, CA
  54. Darren Brown. West Port High School, Ocala, FL
  55. Can Oztoprak. Istanbul, Turkey
  56. Emil Lalov. Mathematical High School, Pleven, Bulgaria
  57. Sarah Maldonado, Creekwood Middle School, Kingwood, TX
  58. Thomas Medal. Our Lady of Sorrows Catholic School, Toronto, Ontario
  59. Marc Santos. Our Lady of Sorrows Catholic School, Toronto, Ontario
  60. Jon Eisenberg.   Dartmouth High School, Dartmouth MA
  61. Carl Sedgeman. Sauk Centre HS, Sauk Centre, MN
  62. Rodney Clingaman   Fishers, IN
  63. Mark Wintczak, Naperville, IL
  64. Maggie Schoening. Dartmouth High, Dartmouth, MA
  65. Jenna Custodio. Dartmouth High School, Dartmouth. MA
  66. Christopher Sinkule. St, Luke Middle School, Columbus, GA
  67. Savvas Kountouris.
  68. Polis Chrysochous.
  69. Patrick McHenry. Beck Middle Schoolm, Cherry Hill, NJ
  70. Matthew Kestenbaum. Dartmouth High School, Dartmouth, MA
  71. Amanda Tu. Southridge School, BC, Canada
  72. Aaron Rose. Hastings Middle School, Fairhaven, MA
  73. Pamela Chretien. Hastings Middle School, Fairhaven, MA
  74. Alexander McAvoy. Southampton, MA
  75. Carolyn Merchant.  Darmouth High School, Dartmouth, MA
  76. Selvamohan Neethiraj. VeriSign Inc, Potomac Falls, VA
  77. Max White, South Pasadena Middle School, South Pasadena, CA
  78. Grant Salzano. Haddam-Killingworth High School, Higganum, CT
  79. Erika Taylor. Monmouth University, West Long Branch, NJ
  80. Paul McNally. Carusi Middle School
  81. Meagan Raposo. Dartmouth High School, Dartmouth, MA
  82. Kunal Singh. Kendriya Vidyalaya, Shillong, Meghalaya, India
  83. Max G. Carusi, NJ
  84. Clayton Smith. Arrowhead High School, Hartland, WI
  85. Ryan McElhinny. Arrowhead High School, Hartland, WI
  86. Aashrita Mangu. South Pasadena Middle School, South   Pasadena, CA
  87. Alec Uebersohn. Arrowhead High School, Hartland, WI
  88. Daniel Noble. International School of Uganda, Kampala, Uganda
  89. Daniel Pyon. South Pasadena Middle School, South Pasadena, CA
  90. Bharvi Desai. Columbus, GA
  91. Matthew Wong. South Pasadena Middle School, South Pasadena, CA
  92. Michael Necula. Laguna Beach High School, Laguna Beach, CA
  93. Ashvin Swaminathan. Harker Elementary School, San Jose, CA
  94. Michelle Lam. South Pasadena Middle School, South Pasadena, CA
  95. Tiffany Chen. South Pasadena Middle School, South Pasadena, CA
  96. Ekaterina Merkurjev. Pacific Palisades High School, Los Angeles, CA
  97. Melissa Chaffin. University of Georgia, Athens, GA
  98. Garrett Mosley. Morton Ranch H.S., Katy, TX
  99. Lusha Zhou. Ricmond Secondary, Rmd, BC, Canada
  100. Kristy Chang. South Pasadena Middle School, South Pasadena, CA
  43% of respondents successfully answered this problem.


 



 Last Updated On: 12/19/05

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