Really need some help on Quadratic Formula's ect

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Discussion Overview

The discussion revolves around a problem involving the application of the quadratic formula to determine the dimensions of a rectangular plot of land that Markita wants to fence, given specific constraints on area and perimeter. The scope includes mathematical reasoning and problem-solving strategies related to quadratic equations.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • Post 1 presents the problem of finding the dimensions of a rectangular plot with a specified area and limited fencing.
  • Post 2 suggests establishing equations for area and perimeter based on the dimensions L (length) and w (width) of the plot.
  • Post 3 expresses a lack of understanding of how to begin solving the problem and requests a complete answer.
  • Post 4 emphasizes the importance of effort in attempting to solve the problem rather than seeking direct answers.
  • Post 5 introduces a related question about the maximum area that can be enclosed by the fence.
  • Post 6 outlines a method for deriving a quadratic equation from the area and perimeter relationships, suggesting a substitution approach to simplify the problem.

Areas of Agreement / Disagreement

Participants generally express differing levels of understanding and willingness to engage with the problem. There is no consensus on a solution, and multiple approaches to the problem are presented without resolution.

Contextual Notes

Some participants highlight the need for a clear understanding of the relationships between area, perimeter, and dimensions, while others note the importance of effort in problem-solving. The discussion does not resolve the mathematical steps necessary to arrive at a solution.

Who May Find This Useful

Students preparing for tests on quadratic equations and those seeking assistance with similar mathematical problems involving area and perimeter constraints.

travishillier
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Really need some help on Quadratic Formula's ect ...

Heres the question ... your help is greatly needed and appreciated ...

Markita wants to fence a rectangular plot of land along side the shore of a lake. Only 3 sides must be fenced, since the lake will form the lake will form the fourth side. Markita had 100m of fencing, and she wants the plot of land to have an area of 500m^2 (squared). Find the dimensions of the plot of land, to the nearest tenth of a metre. Expalin and justify your solution.


there's thequestion , lmk what u can do to help me out ... Thx
 
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Let the length of the fence be L and the width be w.

Can you find an equation relating area to L and w?

Can you find an equation relating perimeter to L and w?

Can you solve this system of equations?

cookiemonster
 
Hey ... i ahve absolutley no idea how to even start this question, we have a test on a question like this tomrow and thought i coem here to get the proper format ect basically looking for the compltete answer so if u can help me on that i would greatly aprreacite it.
 
I just told you how to start the question. If you're not willing to put in effort to attempt to solve it, then looking at the answer isn't going to help you on the test anyway.

cookiemonster
 
furhtermore... Whats the maximum area that this fence can enclose? :P give it some thought.
 
What are the formulas for area and perimeter of a rectangle ? Use the area formula to write the length(L) in terms of the breadth(W). So now, your length and breadth are written in terms of just one variable. How is the total length of the fence related to the length and breadth. Write this down and subtitute from your previous result. That should give you an equation with terms where the variable is sometimes in the numerator and sometimes in the denominator. Multiply thoughout by the variable to remove it from the denominator. You now have a quadratic equation. Solve this in the required manner.
 

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