**Problem Statement:**A farmer with 950 ft of fencing wants to enclose a rectangular area and divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?**Tasks and Solutions:**(a) **Drawing Diagrams:**- Draw different configurations of the rectangle with shallow, wide pens, and deep, narrow pens.- Determine if there appears to be a configuration with a maximum area.(b) **Diagram of General Situation:**- Let \( x \) denote the length of each of two sides and three dividers.- Let \( y \) denote the length of the other two sides.(c) **Expression for Total Area:**- **Formula:** \( A = x \cdot y \)(d) **Relating Variables:**- Derive an equation using the given information: - **Incorrect Formula:** \( y = 475 - \frac{5}{e}x \)(e) **Total Area as a Function of One Variable:**- Use the correct relation from part (d): - **Formula:** \( A(x) = 475x - \frac{5}{2}x^2 \)(f) **Finding the Largest Area:**- Solve for the maximum area. - **Result:** \( 22562.5 \, \text{ft}^2 \)Need help with this problem? Use the resources:- **Read It** - **Watch It**

Name: **Problem Statement:**A farmer with 950 ft of fencing wants to enclos
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: **Problem Statement:**A farmer with 950 ft of fencing wants to enclose a rectangular area and divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?**Tasks and Solutions

Given: A farmer with includes the 950 ft of fencing that results in enclosing the rectangular area and then divide it into four pens that includes the fencing parallel to one side of the rectangle. The largest possible that includes the total area of the four pens as follows,(a) The several diagrams that illustrated the situation, shallow, wide pens and deep narrow pens are drawn as below,(b) The general situation is illustrated as below, (c) The total area expressed as follows, Area = x .y As per the rules we can answer only 3 subparts, please post the remaining subparts as the separate question.