A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateraltriangle.(a) How much wire should be used for the square in order to maximize the total area?m(b) How much wire should be used for the square in order to minimize the total area?mEnhanced FeedbackPlease try again and draw a diagram. Keep in mind that the area of a square with edge a is Ag = a2 and the area of anequilateral triangle with edge b is At =.Let x be the perimeter of the square, which means x = 4a, and y be the4perimeter of the triangle, which means y = 3b. Find a relationship between x and y, considering that the wire's length / isa constant and = x + y. Rewrite the total area A = A, + At as a function of one variable. Use calculus to find the edgesof the square and the triangle that maximize the area; then find the edges that minimize the area.

A piece of wire 8 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? m (b) How much wire should be used for the square in order to minimize the total area?

A piece of wire 8 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? m (b) How much wire should be used for the square in order to minimize the total area?

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 43PS

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