Teacher wants to recycle some elliptic cardboard into rectangular name plates. The minor and major axes of each ellipse are of lengths 10 cm and 20 cm, respectively. What should be the dimensions of each name plate so that the usage of cardboard materials is maximized? (x^2 / 25) + (y^2 / 100) = 1

Teacher wants to recycle some elliptic cardboard into rectangular name plates. The minor and major axes of each ellipse are of lengths 10 cm and 20 cm, respectively. What should be the dimensions of each name plate so that the usage of cardboard materials is maximized? (x^2 / 25) + (y^2 / 100) = 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 31E

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Question

Teacher wants to recycle some elliptic cardboard into rectangular name plates. The minor
and major axes of each ellipse are of lengths 10 cm and 20 cm, respectively. What should be the
dimensions of each name plate so that the usage of cardboard materials is maximized?

(x^2 / 25) + (y^2 / 100) = 1