MTH122 CSU Global Fencing a Farmer’s Field

Option #1: Fencing a Farmer’s Field

As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 2000 feet of fencing. Remember that a square maximizes area, so use a square in your work.

  • Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.
  • Find the function that models the area in terms of one of its sides.
  • Find the point that maximizes the function you found in the second bulleted item.
  • Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.


  1. Paper must be written in 3rd
  2. Your paper should be 4-5 pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library (Links to an external site.)Links to an external a great place to find resources. Your textbook is a credible resource.
  3. Include a title page, introduction, body, conclusion, and a reference page.
  4. The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.
  5. The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.
  6. The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.
  7. Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
  8. Document formatting, citations, and style should be in APA style