The large rectangle below is divided into nine squares labeled A through I. The area of square C is 64 square units and the area of square D is 81 square units.
Determine the dimensions of the large rectangle.
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Answer to the Problem of the Week for the week of November 28, 2005 |
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| Square Problem |
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The large rectangle below is divided into nine squares labeled A through I. The area of square C is 64 square units and the area of square D is 81 square units. Determine the dimensions of the large rectangle.
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Solution to the Problem: |
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The dimensions of the rectangle are 32 x 33 units. Start with square C and square D to get the sides of those squares. That yields the dimensions of square I to be 1 x 1. Then square E has dimensions 10 x 10, and keep working around the figure.
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| 1. Britney White | Columbus, Georgia |
| 2. Carolyn Shuler | Columbus, Georgia |
| 3. Anna Varner | Columbus, Georgia |
| 4. James Alarie | University of Michigan -- Flint Flint, Michigan |
| 5. Sagar Patel | Columbus, Georgia |
| 6. John Funk | Ventura, California |
| 7. Richard K. Johnson | La Jolla, California |
| 8. Henry Tran | Harrisonburg, Virginia |
| 9. Mary Bailey Wickham | Columbus, Georgia |
| 10. Danny Gordon | Columbus, Georgia |
| 11. Erin Fennacy | Fresno, California |
| 12. Maggie Morrison | Winchester, Virginia |
| 13. Tristan Collins | Virginia Tech Blacksburg, Virginia |
| 14. Elizabeth Carlson | Winchester, Virginia |
| 15. Jessie Biggs | Winchester, Virginia |
| 16. Emily Powell | Winchester, Virginia |
| 17. Nicholas Caligaris | Columbus, Georgia |
| 18. Walt Arrison | Philadelphia, Pennsylvania |
| 19. Jeffrey Gaither | University of Virginia Charlottesville, Virginia |
| 20. Emelie Rydström | Örebro, Sweden |
| 21. Adam Haglund | Örebro, Sweden |
| 22. Magdalena Axelsson | Tullängsskolan, Sweden |
| 23. Elias Hakuni | Tullängsskolan, Örebro, Sweden |
| 24. Malin Fredriksson | Tullängsskolan, Örebro, Sweden |
| 25. Andrew Montoya | Winchester, Virginia |
| 26. Billy Sutherland | Winchester, Virginia |
| 27. Olivia Quach | Harrisonburg, Virginia |
| 28. David & Judy Dixon | Bennettsville, South Carolina |
| 29. Praveen Nandamuru | Columbus, Georgia |
| 30. John Spencer | Columbus, Georgia |
| 31. Mike Singer | Winchester, Virginia |
| 32. Rachel Pridgen | Columbus, Georgia |
| 33. Shaan Arora | Columbus, Georgia |
| 34. Emil Reinholdsson, Jonas Arvidson, Chris Jansson | Tullängskolan, Örebro, Sweden |
| 35. Anders Alfredsson | Tullängskolan, Örebro, Sweden |
| 36. Wictoria Widén | Tullängskolan, Örebro, Sweden |
| 37. Lina Peippo | Tullängen, Örebro, Sweden |
| 38. Heather Brown | Winchester, Virginia |
| 39. Carter Galbraith | Columbus, Georgia |
| 40. Matthew Ahrnsbrak | Winchester, Virginia |
| 41. Anil Nataraj | Columbus, Georgia |
| 42. Kelley Kolar | Winchester, Virginia |
| 43. John DeBergh | Winchester, Virginia |
| 44. George M. Gaither III | Winchester, Virginia |
| 45. Kristina Svahnström | Tullängskolan, Örebro, Sweden |
| 46. Erika Skoglund | Tullängskolan, Örebro, Sweden |
| 47. Gabrielle Groth | Tullängskolan, Örebro, Sweden |
| 48. Russell Beaty | Columbus, Georgia |
| 49. Avery Acuff | Columbus, Georgia |
| 50. Stephen O'Hara | Winchester, Virginia |
| 51. Cameron Burkholder | Virginia Tech Blacksburg, Virginia |
| 52. Andrew Barnes | Winchester, Virginia |
| 53. Stephen O'Hara | Winchester, Virginia |
| 54. Ben Arthur | Winchester, Virginia |
| 55. Joakim Olsson | Tullängskolan, Örebro, Sweden |
| 56. Mrs. Barnes | Winchester, Virginia |
