Due: 7 December, 1998
Rectangles Without Rectangles
1. Suppose we are given a rectangle of height H and width W. What is the maximum area of a rectangle circumscribed about the given one, as in the diagram below? 
Bonus. What is the maximum area of a rectangle that can be circumscribed about the ellipse x2 + 9y2 = 9? 
Department of Mathematics
Maintained by Stefan Bilaniuk. Last updated 1999.12.03.