A farmer has 40m of fencing with which to enclose a rectangular pen.Given that the pen is x m wide -

show that it's area is (20x - x^2)m^2

and deduce that the maximum area that he can enclose (Answer given 100m^2).

I have completed lots and lots of exercises involving completing the square- also with minimum and maximum values but am obviously missing something here.

Thank you.

Solution Preview

Hi, here is the solution.

Area = 20x -x^2

Find the derivative and set equal to zero.

dA/dx = 20-2x

dA/dx=0 => 20-2x=0

x= ...

Solution Summary

A quadratic equations word problem is solved by completing the square. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

Completing the Square, Quadratic Functions, Axis of Symmetry, and Intercepts. 1. Using completing the square to describe the graph of the following function. ...

... 4. Solve by completing the square: x² 10x + 4 = 0. ... compare the first two terms of this equation to the first two terms of a complete square like x ...

...Complete the following punnet square and then answer the questions: PP x pp pp P P. ... P p P PP Pp p Pp pp Again, once you have completed the square, you can ...

... data file, lecture notes and Bluman Chi-Square supplement A sociologist wishes to see whether the number of years of college a person has completed is related ...

... 4) Solve by factoring left side first x^2 + 4x + 4 = 25 5) Solve by factoring left side first x^2 - 10x + 25 = 3 6) Complete the square x^2 - 12x 7) Complete...

... As you complete the problem, refer to the following suggestions: You will ... number of tests Regression Statistics Multiple R 0.623484 R Square 0.388733 Adjusted ...

... an open-top box by cutting equal squares from the ... to be 80 square inches, then what size square should be ... Please see the attached file for the complete solution ...

... d. Complete the following table to determine the unit product costs ... R square of .954 is a very strong relationship and ... (123 words) I have completed the Excel ...