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

  • Thread starter r-soy
  • Start date
In summary, the conversation is about finding the area of a rectangular feeding pen using 100 meters of fencing. The conversation includes discussing the formula for finding the area, labeling the sides of the rectangle, and determining the domain of the function.
  • #1
r-soy
172
1
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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  • #2
You need to show us some work.

Can you show us the formula for finding the area of a rectangle?
 
  • #3
Start by drawing a picture, labeling the variable(s) and showing what you have tried.
 
  • #4
899.JPG


Then what I do?
 
  • #5
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.
 
  • #6
http://www.up-00.com/s1files/gv733764.jpg
 
Last edited by a moderator:
  • #7
Can you label the sides of the rectangle using just a single variable? You're given a value for the perimeter.
 

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

1. What is a rectangular cattle feeding pen problem?

A rectangular cattle feeding pen problem refers to the mathematical task of determining the optimal dimensions of a rectangular pen that can be used to feed a certain number of cattle. This problem is commonly encountered in agriculture and animal husbandry, as it helps farmers and ranchers efficiently utilize their land and resources.

2. How do you solve a rectangular cattle feeding pen problem?

To solve a rectangular cattle feeding pen problem, you need to follow these steps:

  • 1. Determine the total area available for the pen.
  • 2. Calculate the total area needed per cattle, taking into account their size and feeding requirements.
  • 3. Divide the available area by the required area per cattle to get the maximum number of cattle that can be fed in the pen.
  • 4. Determine the optimal dimensions for the rectangular pen by finding the length and width that will give you the desired number of cattle.

3. What is the domain of A(X) in a rectangular cattle feeding pen problem?

The domain of A(X) refers to the set of possible values for the length or width of the rectangular pen in a cattle feeding pen problem. It is typically represented by the variable X and can range from 0 to the maximum available area for the pen.

4. How do you find the domain of A(X) in a rectangular cattle feeding pen problem?

To find the domain of A(X), you need to consider the constraints of the problem. These may include the total available area, the required area per cattle, and any other factors that may affect the dimensions of the pen. Once you have identified these constraints, you can determine the range of values that X can take to satisfy them.

5. Are there any real-life applications for solving a rectangular cattle feeding pen problem?

Yes, there are many real-life applications for solving a rectangular cattle feeding pen problem. For example, a farmer may use this problem to determine the optimal size of a pen for a certain number of cattle, based on their feeding requirements and land availability. This can help them make better use of their resources and increase efficiency in their operations.

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