A 100 ft stainless steel rope is to be cut into two sections. One of the sections will be used to create a square and the other will be used to create an equilateral triangle. What will the lengths of two sections of the rope have to be in order to maximize the combined areas? Recall that the height of an equilateral is v3/2 of its base.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
icon
Related questions
Question
100%

A 100 ft stainless steel rope is to be cut into two sections. One of the sections will be used to create a square and the other will be used to create an equilateral triangle. What will the lengths of two sections of the rope have to be in order to maximize the combined areas? Recall that the height of an equilateral is √3/2 of its base.

 

Thank you

A 100 ft stainless steel rope is to be cut into two sections. One of the sections will be
used to create a square and the other will be used to create an equilateral triangle.
What will the lengths of two sections of the rope have to be in order to maximize
the combined areas? Recall that the height of an equilateral is v3/2 of its base.
Transcribed Image Text:A 100 ft stainless steel rope is to be cut into two sections. One of the sections will be used to create a square and the other will be used to create an equilateral triangle. What will the lengths of two sections of the rope have to be in order to maximize the combined areas? Recall that the height of an equilateral is v3/2 of its base.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Pythagoras' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage