A piece of wire 28 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 wire (in m) should be used for the square in order to maximize the total area? b.How much wire (in m) should be used for the square in order to minimize the total area?

A piece of wire 28 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 wire (in m) should be used for the square in order to maximize the total area? b.How much wire (in m) should be used for the square in order to minimize the total area?

Elementary Geometry For College Students, 7e

7th Edition

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 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....

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Question

A piece of wire 28 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 wire (in m) should be used for the square in order to maximize the total area?

b.How much wire (in m) should be used for the square in order to minimize the total area?

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