A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? To minimize the combined area, the wire should be cut so that (Round to the nearest thousandth as needed) length of 53x 1+x CLE is used for the circle and a length of 53 1+x is used for the square.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part?
53
1+ A
To minimize the combined area, the wire should be cut so that a length of
(Round to the nearest thousandth as needed.)
is used for the circle and a length of
53
1 + A
is used for the square.
Transcribed Image Text:A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? 53 1+ A To minimize the combined area, the wire should be cut so that a length of (Round to the nearest thousandth as needed.) is used for the circle and a length of 53 1 + A is used for the square.
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