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Maximum area rectangles Of all rectangles with a perimeter

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 5E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 5E

Maximum area rectangles Of all rectangles with a perimeter of 10 m, which one has the maximum area? (Give the dimensions.)

Step-by-Step Solution:

Solution Step 1: Consider a rectangle of width x and length y here area of rectangle(length *width) is the objective function denote it by A Thus the objective function A=xy And perimeter of a rectangle is the constraints that is 2(x+y)=10m Our goal is to find the dimension of a rectangle of a perimeter 10m which gives maximum area

Step 2 of 6

Chapter 4.4, Problem 5E is Solved
Step 3 of 6

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Maximum area rectangles Of all rectangles with a perimeter