Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 106E
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Find the dimensions of a rectangle with a perimeter of
200 feet that has the maximum area.
Introduce the variables x and y for the length and width of the rectangle. The goal is to maximize the area of the rectangle. Before using calculus to find the maximum​ area, first express the area as a function of a single variable.
The side lengths are _____  feet.
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