Solve Rectangular Cattle Feeding Pen Problem - Find Domain of A(X)

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To solve the rectangular cattle feeding pen problem with 100 meters of fencing, the area A(X) can be expressed as A(X) = X(50 - X), where X is the width of the pen. The domain of the function A is determined by the physical constraints, specifically that X must be greater than 0 and less than 50 meters. This ensures that both the width and length of the pen remain positive and feasible. Participants are encouraged to draw a diagram, label the sides, and show their work to clarify their understanding of the problem. Proper labeling and understanding of the perimeter are crucial for accurately determining the area as a function of one variable.
r-soy
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Hi all >>

How can I solve it?

A rectangular feeding pen for cattle is to be made with 100 meters of fencing .

Find :
1 - If X represents the width of the pen, express its area A(X) in terms of X
2 - What is the domain of the function A (determind by the physical restrictions ) ?
my regard
 
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You need to show us some work.

Can you show us the formula for finding the area of a rectangle?
 
Start by drawing a picture, labeling the variable(s) and showing what you have tried.
 
899.JPG


Then what I do?
 
The attachment is pending approval, so we probably won't be able to see your drawing for several hours. What are the labels you put on each side of the rectangle? Keep in mind that you have 100 m. of fencing. What is the area of your rectangle? If you have labelled the sides correctly, you should have the area as a function of just one variable.
 
http://www.up-00.com/s1files/gv733764.jpg
 
Last edited by a moderator:
Can you label the sides of the rectangle using just a single variable? You're given a value for the perimeter.
 

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