A farmer wants to build a rectangular pen on the side of his 20ft by 20ft square barn. He only needs to fence in three of the sides since the other side must lie completely along the side of the barn. He has 50 feet of fencing. What is the area and dimensions of the largest area he can fence in? Draw a picture of the maximum size pen. What if his barn was 30ft by 30ft and he wanted to build a fence with 50ft of fencing?
A farmer wants to build a rectangular pen on the side of his 20ft by 20ft square barn. He only needs to fence in three of the sides since the other side must lie completely along the side of the barn. He has 50 feet of fencing. What is the area and dimensions of the largest area he can fence in? Draw a picture of the maximum size pen. What if his barn was 30ft by 30ft and he wanted to build a fence with 50ft of fencing?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. A farmer wants to build a rectangular pen on the side of his 20ft by 20ft square barn.
He only needs to fence in three of the sides since the other side must lie completely
along the side of the barn. He has 50 feet of fencing. What is the area and dimensions
of the largest area he can fence in? Draw a picture of the maximum size pen.
What if his barn was 30ft by 30ft and he wanted to build a fence with 50ft of fencing?
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