Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks 6. X m (smaller value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.)
6.
X m (smaller value)
36
X m (larger value)
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Please try again, keeping in mind that the area of a rectangle with edges x and y is A = xy and the perimeter is P = 2x + 2y. Find a relationship between x an
constant. Rewrite the perimeter as a function of one variable. Use calculus to find the edges of the rectangle that minimize the perimeter.
Transcribed Image Text:Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.) 6. X m (smaller value) 36 X m (larger value) Enhanced Feedback Please try again, keeping in mind that the area of a rectangle with edges x and y is A = xy and the perimeter is P = 2x + 2y. Find a relationship between x an constant. Rewrite the perimeter as a function of one variable. Use calculus to find the edges of the rectangle that minimize the perimeter.
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