Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.
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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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