How Do You Determine the Maximum Area of Quadrilateral ABCD?

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SUMMARY

The discussion focuses on determining the maximum area of quadrilateral ABCD by deriving a function that represents its area. Participants emphasize the importance of taking the derivative to find critical points and evaluating these points in the original area function. A strategic approach is suggested, where points A, B, and D are fixed while optimizing the position of point C to simplify the problem-solving process.

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  • Understanding of calculus, specifically derivatives and critical points
  • Familiarity with polygon area formulas
  • Basic knowledge of optimization techniques
  • Ability to graph functions for visual analysis
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  • Study the area formulas for various polygons, including quadrilaterals
  • Explore the concept of critical points in functions
  • Investigate graphical methods for visualizing area optimization
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mercedesbenz
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Homework Statement


please help me find maximum area of ABCD
maximum .png

 
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Well it looks like you have enough information there to come up with a function that represents the area of that polygon. After that see where that function has a maximum. That is take its derivative and find critical points, and plug them into your original function, and see what values you get.

You need to show some work of yours, if you want to get more help!

Cheers!
 
… a bit at a time ! …

Hi mercedesbenz! :smile:

This is one of those problems that is a bit complicated to do all in one go.

So simplify it … do a bit at a time!

Hint: fix A B and D, and just find the best place for C.

Solve that, and the rest of the problem becomes obvious. :smile:
 

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