A rectangle 20 m long and 2 m tall is to be cut twice perpendicularly to the base. The result will be three smaller rectangles R1, R2, and R3. If the dimensions of R1 and R3 must be the same, what dimension of Rj will maximise the product of the areas of R1 and R2?

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 20 m long and 2 m tall is to be
cut twice perpendicularly to the base. The
result will be three smaller rectangles R1,
R2, and R3. If the dimensions of R1 and
R3 must be the same, what dimension of
Rj will maximise the product of the areas
of R1 and R2?
Transcribed Image Text:A rectangle 20 m long and 2 m tall is to be cut twice perpendicularly to the base. The result will be three smaller rectangles R1, R2, and R3. If the dimensions of R1 and R3 must be the same, what dimension of Rj will maximise the product of the areas of R1 and R2?
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