### Assignment #5

**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? *[10]*

**Bonus.** What is the maximum area of a rectangle that can be circumscribed about the ellipse x^{2} + 9y^{2} = 9? *[2]*

Department of Mathematics
Trent University

Maintained by Stefan Bilaniuk. Last updated 1999.12.03.