A rectangle of maximum perimeter is to be inscibed in the ellipse x^2/21^2 + y^2/11^2 = 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A rectangle of maximum perimeter is to be inscibed in the ellipse x^2/21^2 + y^2/11^2 = 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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