A rectangle has a perimeter p cm. Determine the length and breadth of the rectangle when its area is maximum. Hence find the maximum area of the rectangle in terms of p. Can you explain how to answer this step by step?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
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A rectangle has a perimeter p cm. Determine the length and breadth of the rectangle when its area is maximum. Hence find the maximum area of the rectangle in terms of p.

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