Arlal I UA 11 三| 三 You are creating a community garden to grow fresh fruit and vegetables. The space will have a 2 foot by 4 foot section on the side in addition to a larger space that is twice as long as it is wide. Reference the image below for the dimensions of the garden. 4 feet 2 feet 2x feet 4) Write an equation to represent the area of the garden, k(x) based on the width, x. 5) If you wanted a garden that was 80 ft², what would the width, x, need to be? 6) Write the inverse equation so that you can easily plug in any area and determine the width. !! B. x feet

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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You are creating a community garden to grow fresh fruit and vegetables. The space will have a 2-foot by 4-foot section on the side in addition to a larger space that is twice as long as it is wide. Reference the image below for the dimensions of the garden.

The diagram shows a rectangular garden. The main section is labeled as x feet in width and 2x feet in length. An additional section is attached, measuring 2 feet by 4 feet.

4) Write an equation to represent the area of the garden, \( k(x) \), based on the width, \( x \).

5) If you wanted a garden that was 80 square feet, what would the width, \( x \), need to be?

6) Write the inverse equation so that you can easily plug in any area and determine the width.
Transcribed Image Text:You are creating a community garden to grow fresh fruit and vegetables. The space will have a 2-foot by 4-foot section on the side in addition to a larger space that is twice as long as it is wide. Reference the image below for the dimensions of the garden. The diagram shows a rectangular garden. The main section is labeled as x feet in width and 2x feet in length. An additional section is attached, measuring 2 feet by 4 feet. 4) Write an equation to represent the area of the garden, \( k(x) \), based on the width, \( x \). 5) If you wanted a garden that was 80 square feet, what would the width, \( x \), need to be? 6) Write the inverse equation so that you can easily plug in any area and determine the width.
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