In the diagram (not drawn to scale), the sloping line divides the area of the rectangle in the ratio 1 : 6.
What is the ratio a : b?
Show your work.
Solution to the Problem:
The ratio a:b = 2:5.Let h = length of the rectangle.
The area of the triangle = 1/2 a h = 1 so ah = 2
The area of the rectangle = (a + b) h = 7 so ah + bh = 7
Subtracting, we get bh = 5
Therefore, ah / bh = a / b = 2 / 5
Correctly solved by:
| 1. Martin Round | Studley, Warwickshire, United Kingdom |
| 2. James Alarie | Flint, Michigan |
| 3. Vasilios Loutrianakis | Park Ridge,Illinois |
| 4. Jonathan Spychalski | Park Ridge,Illinois |
| 5. Madison Bindl |
Mountain View High School, Mountain View, Wyoming |
| 6. Amy Sorensen |
Giddings High School, Giddings, Texas |
| 7. Jim Hooker | Johnson City, Tennessee |
| 8. Brijesh Dave | Mumbai city, Maharashtra, India |
| 9. Claire Corbasson |
Delta High School, Delta, Colorado |