The large figure is a square.
Solution to the Problem:
James Alarie sent in the following solution:I, mentally, superimposed an XY coordinate system and wrote the equations for the two internal lines:
Y = 2 * X
X + Y = 1
Solving for Y gives 2 / 3.
The area of the shaded triangle is:
base * height / 2
The base is 1 and the height was calculated as 2 / 3, so the area is:
1 * (2 / 3) / 2 = 1 / 3
The shaded area is 1/3 of the whole.
Here is Sreeroopa Sankararaman's answer:
Here is David Weston's answer:
Here is Kimberly Howe's answer:
1/3 is shaded
Solved h of shaded triangle using equations to find the y value for the point of intersection.
Correctly solved by:
| 1. James Alarie | Flint, Michigan |
| 2. Rob Miles | Northbrook, Illinois |
| 3. Sreeroopa Sankararaman | Singapore, Singapore |
| 4. Brijesh Dave | Mumbai City, Maharashtra, India |
| 5. Kimberly Howe | Vienna, Virginia |
| 6. Kelly Stubblefield | Mobile, Alabama |
| 7. Carolyn Dewey | Edina, Minnesota |
| 8. Ivy Joseph | Pune, Maharashtra, India |