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#4A

#4A

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Ch 4.6 #4A Can you show me how to do this
Consider the following problem: A farmer with 810 ft of fencing wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area, A? If so, estimate it. (Round your answer to the nearest thousand.) A = ft2 (b) Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols. y O Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. O Let x denote the length of the perimeter. Let y denote the length of the dividers. O Let y denote the length of each of two sides and three dividers. Let x denote the length of the other two sides. O Let x denote the length of the dividers. Let y denote the length of the perimeter. (c) Write an expression for the total area. A = ft2
Transcribed Image Text:Consider the following problem: A farmer with 810 ft of fencing wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area, A? If so, estimate it. (Round your answer to the nearest thousand.) A = ft2 (b) Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols. y O Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. O Let x denote the length of the perimeter. Let y denote the length of the dividers. O Let y denote the length of each of two sides and three dividers. Let x denote the length of the other two sides. O Let x denote the length of the dividers. Let y denote the length of the perimeter. (c) Write an expression for the total area. A = ft2
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