use lanyrange multipliers to pove tnet the rectunghele with maxinanm area that nas a yiven perimeter P isa square Let the sides uf tre rectangle be x end y and let f ared f representdre area (A) and penineter Ces repectively. Fince tre follourey %3D Then 2=Ey = implies that X = Therefore,the rectangle uitn maximu area is 9 Square with Side length 14.8 (3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Use
lanyrange multipliers to pave thet the reCHangte
with maximum area that inas a given perimeter P is a square,
Sides uf tre rectangle be x and
and let f and f representdre area (A) and perneter (es
ropectively. Fine tre folloury
%3D
Then 2=$y =
%3D
%3D
implies thatX=
herefore,the rectangle uitn maximu
area is
9 Square wity Side lengtn
14.% (3
Transcribed Image Text:Use lanyrange multipliers to pave thet the reCHangte with maximum area that inas a given perimeter P is a square, Sides uf tre rectangle be x and and let f and f representdre area (A) and perneter (es ropectively. Fine tre folloury %3D Then 2=$y = %3D %3D implies thatX= herefore,the rectangle uitn maximu area is 9 Square wity Side lengtn 14.% (3
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