Parellelogram Geometric Progression
Two segments parallel to the sides of a parallelogram are drawn through a point on the parallelogram's diagonal.
The area of the entire figure is 2009, and the areas of the red, blue, and green sections are distinct integers which form a geometric progression in that order.
What is the maximum possible area of the red section?
Note: The diagram is not drawn to scale.
by
Zain Majumder