A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.(a) How much wire should be used for the square in order to maximize the total area?DNEm(b) How much wire should be used for the square in order to minimize the total area?24/33+ 4V3Enhanced FeedbackPlease try again and draw a diagram. Keep in mind that the area of a square with edge a is Asb²V3a and the area of an equilateral triangle with edge b is Aț =.Let x be the perimeter of the square, which means x = 4a, and y be the perimeter of4the triangle, which means y = 3b. Find a relationship between x and y, considering that the wire's length / is a constant and / = x + y. Rewrite the total area A = As + A¢ as a function of one variable. Use calculus to find the edges of the square and¡the triangle that maximize the area; then find the edges that minimize the area.

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Answered: A piece of wire 27 m long is cut into…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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