Answer to the Problem of the Week
for the week of November 28, 2005

Square Problem

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.



 

Solution to the Problem:

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.




Correctly solved by:

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