Suppose that a family wants to fence in an area of their yard for a vegetable garden to keep out deer. One side is already fenced from the neighbor's property. 1510848 x Part: 0/2 Part 1 of 2 x (a) If the family has enough money to buy 140 ft of fencing, what dimensions would produce the maximum area for the garden? The dimensions that would produce the maximum area for the garden are ft by ft. X 3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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**Problem Context:**

Suppose that a family wants to fence in an area of their yard for a vegetable garden to keep out deer. One side is already fenced from the neighbor's property, as illustrated by the diagram.

**Diagram Explanation:**

The diagram shows a rectangular area with one side, labeled as "y", already fenced. The two remaining sides are labeled "x".

**Question:**

(a) If the family has enough money to buy 140 ft of fencing, what dimensions would produce the maximum area for the garden?

**Instructions:**

- The dimensions that would produce the maximum area for the garden are [ ] ft by [ ] ft.

**Options:**

- Next Part
- Save For Later
- Submit Assignment

**Navigation:**

You can navigate using the "Next Part" button to proceed, save your work with "Save For Later," or finalize your submission with the "Submit Assignment" option.

**Footer Information:**

© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility

Ensure to choose the optimal dimensions to maximize the garden area within the specified fencing limits.
Transcribed Image Text:**Problem Context:** Suppose that a family wants to fence in an area of their yard for a vegetable garden to keep out deer. One side is already fenced from the neighbor's property, as illustrated by the diagram. **Diagram Explanation:** The diagram shows a rectangular area with one side, labeled as "y", already fenced. The two remaining sides are labeled "x". **Question:** (a) If the family has enough money to buy 140 ft of fencing, what dimensions would produce the maximum area for the garden? **Instructions:** - The dimensions that would produce the maximum area for the garden are [ ] ft by [ ] ft. **Options:** - Next Part - Save For Later - Submit Assignment **Navigation:** You can navigate using the "Next Part" button to proceed, save your work with "Save For Later," or finalize your submission with the "Submit Assignment" option. **Footer Information:** © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Ensure to choose the optimal dimensions to maximize the garden area within the specified fencing limits.
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