A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The rectangle's sides are parallel to the axes of the ellipse. Find the larger dimension of this rectangle. Round off to two decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The rectangle's sides are parallel to the axes of the ellipse. Find the larger dimension of this rectangle. Round off to two decimal places.

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