To state: The greatest area fenced by using 100 ft of donated fencing if a town wants to fence in a rectangular space using an existing wall.
The maximum area is 1250 square feet.
Given information:
A town wants to fence in a rectangular space using an existing wall.
Explanation:
Let’s assume l as the length of the rectangle and w as the width.
Fencing will be done by using the 100 ft of fence.
Then the relation will become:
Now the area of the rectangle is:
Compare equation
Then the maximum value,
Now the maximum area will be:
Therefore, the maximum area is 1250 square feet.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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