please box your answer, 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?8m(b) How much wire should be used for the square in order to minimize the total area?4.52mEnhanced FeedbackPlease try again and draw a diagram. Keep in mind that the area of a square with edge a is Ag = a? 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 1 = x + y. Rewrite the total area A = Ag + A, 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.

This question is based on the Applications of derivative : maxima and minima

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? 8 (b) How much wire should be used for the square in order to minimize the total area? 4.52 m

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? 8 (b) How much wire should be used for the square in order to minimize the total area? 4.52 m

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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please box your answer,

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?
8
m
(b) How much wire should be used for the square in order to minimize the total area?
4.52
m
Enhanced Feedback
Please try again and draw a diagram. Keep in mind that the area of a square with edge a is Ag = a? and the area of an
equilateral triangle with edge b is At =.
Let x be the perimeter of the square, which means x = 4a, and y be the
4
perimeter of the triangle, which means y = 3b. Find a relationship between x and y, considering that the wire's length / is
a constant and 1 = x + y. Rewrite the total area A = Ag + 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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