Question
Asked Dec 3, 2019
89 views

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. (Give your answers correct to two decimal places.)

(a.)  How much wire should be used for the square in order to maximize the total area? in meters

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

check_circle

Expert Answer

Step 1

Given,

help_outline

Image Transcriptionclose

Wire 8m Square Equilateral triangle

fullscreen
Step 2

Let us assume,

help_outline

Image Transcriptionclose

xm is used in making square (8-x)m in making equilateral triangle

fullscreen
Step 3

The length of square and length o...

help_outline

Image Transcriptionclose

x length of square =- m 4 8-x m 3 length of equilateral triangle

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Derivative