The figure below is made of three parts: two equilateral triangles (each with side length æ) joined to a rectangle. The perimeter of the figure (black outline) is 24 centimeters. Answer the questions below. (a) Find r so that the area is maximised. Write your answer as a fraction (with radicals) and as a decimal approximation with two decimal places. (b) Use the decimal form in (a) to find the maximum possible area? Round off your answer to two decimal places. V3 Hint: The area of an equilateral triangle with side length s is
The figure below is made of three parts: two equilateral triangles (each with side length æ) joined to a rectangle. The perimeter of the figure (black outline) is 24 centimeters. Answer the questions below. (a) Find r so that the area is maximised. Write your answer as a fraction (with radicals) and as a decimal approximation with two decimal places. (b) Use the decimal form in (a) to find the maximum possible area? Round off your answer to two decimal places. V3 Hint: The area of an equilateral triangle with side length s is
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 20AR: The cross section of a dovetail slide is shown. Before the dovetail was cut, the cross section was...
Related questions
Question
![The figure below is made of three parts: two equilateral
triangles (each with side length æ) joined to a rectangle. The perimeter of the
figure (black outline) is 24 centimeters. Answer the questions below.
(a) Find x so that the area is maximised. Write your answer as a fraction (with
radicals) and as a decimal approximation with two decimal places.
b) Use the decimal form in (a) to find the maximum possible area? Round off
your answer to two decimal places.
V3
Hint: The area of an equilateral triangle with side length s is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4861129-0719-4d3b-b5f2-b05ad2a68094%2Fc12620b4-6fd2-4b7c-8ec6-c8d0d8088664%2Fhs98v2o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figure below is made of three parts: two equilateral
triangles (each with side length æ) joined to a rectangle. The perimeter of the
figure (black outline) is 24 centimeters. Answer the questions below.
(a) Find x so that the area is maximised. Write your answer as a fraction (with
radicals) and as a decimal approximation with two decimal places.
b) Use the decimal form in (a) to find the maximum possible area? Round off
your answer to two decimal places.
V3
Hint: The area of an equilateral triangle with side length s is
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9781285195728/9781285195728_smallCoverImage.gif)
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9781285195728/9781285195728_smallCoverImage.gif)
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL