Problem:
What is the area of the shaded region of the given  rectangle?

Answer Choices:
A.  
B.
C.  
D.  
E.
Solution:
The diagonal of the rectangle from upper left to lower right divides the shaded region into four triangles. Two of them have a -unit horizontal base and altitude , and the other two have a -unit vertical base and altitude . Therefore the total area is .
The problems on this page are the property of the MAA's American Mathematics Competitions