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 x² + 9y² = 9? [2]

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Department of Mathematics Trent University

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Maintained by Stefan Bilaniuk. Last updated 1999.12.03.