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Mathematics-Online problems:

Interactive Problem 860: Fencing of a Pasture

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
A farmer plans to fence a pasture of maximum area. He has 120 m of fencing material and wants to use the existing fence along the border of his property.

\includegraphics[width=13cm]{TdM_05_A2_bild_en.eps}

Determine the optimum widths $ w$ and $ \widetilde{w}$ as well as the corresponding maximum areas $ A$ and $ \widetilde{A}$ for the two alternative possibilities shown above.


Answer:

$ w$ = m     
$ A$ = m$ ^2$     
$ \widetilde{w}$ = m     
$ \widetilde{A}$ = m$ ^2$


   

(From: Day of Mathematics 2005)

see also:

  automatically generated: 2/ 6/2018