A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much of the wire should go to the square to maximize the total area enclosed by both figures? m (b) How much of the wire should go to the square to minimize the total area enclosed by both figures?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent
into a circle.
(a) How much of the wire should go to the square to maximize the total area enclosed by both figures?
(b) How much of the wire should go to the square to minimize the total area enclosed by both figures?
Transcribed Image Text:A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much of the wire should go to the square to maximize the total area enclosed by both figures? (b) How much of the wire should go to the square to minimize the total area enclosed by both figures?
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