Helena has 60 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side. . Write a function for the area of the garden A in terms of x, the width in feet. The area of the garden van be modeled by A =( ). What measures for the width will give an area of at least 400 square feet? To obtain an area of at least 400 square feet, the width must be between ft and ft. M 9 DELL
Helena has 60 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side. . Write a function for the area of the garden A in terms of x, the width in feet. The area of the garden van be modeled by A =( ). What measures for the width will give an area of at least 400 square feet? To obtain an area of at least 400 square feet, the width must be between ft and ft. M 9 DELL
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Helena has 60 feet of fencing material to fence three sides of a rectangular garden. (Questions in image)
![**Helena's Garden Fencing Problem**
Helena has 60 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side.
- **Task 1: Function for Area**
- Write a function for the area of the garden \( A \) in terms of \( x \), the width in feet.
\[
\text{The area of the garden can be modeled by } A =
\]
\[
(\_\_\_\_\_)(\_\_\_\_\_)
\]
- **Task 2: Minimum Area Condition**
- What measures for the width will give an area of at least 400 square feet?
\[
\text{To obtain an area of at least 400 square feet, the width must be between }
\]
\[
\_\_\_\_\_ \text{ ft and } \_\_\_\_\_ \text{ ft.}
\]
**Image Description:**
The image shows a well-organized rectangular garden sectioned into neat rows of plants. It visualizes what the garden might look like and provides context for the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43db0062-5e73-4a40-9178-4b4f5db8e383%2Fb3bce9a5-2a42-45d8-8d99-8b4ec6d04b28%2F4oik1f4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Helena's Garden Fencing Problem**
Helena has 60 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side.
- **Task 1: Function for Area**
- Write a function for the area of the garden \( A \) in terms of \( x \), the width in feet.
\[
\text{The area of the garden can be modeled by } A =
\]
\[
(\_\_\_\_\_)(\_\_\_\_\_)
\]
- **Task 2: Minimum Area Condition**
- What measures for the width will give an area of at least 400 square feet?
\[
\text{To obtain an area of at least 400 square feet, the width must be between }
\]
\[
\_\_\_\_\_ \text{ ft and } \_\_\_\_\_ \text{ ft.}
\]
**Image Description:**
The image shows a well-organized rectangular garden sectioned into neat rows of plants. It visualizes what the garden might look like and provides context for the problem.
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