document.write( "Question 432784: She have 25 feet of fencing. If she wants to have the greatest area possible, how long should her garden be? How wie should it be? \n" ); document.write( "

Algebra.Com's Answer #300036 by Gogonati(855) $\"\"$ $\"About$

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Let's x feet the length of your garden.Then the width will be: $\"%2825-2x%29%2F2\"$ feet.\r
\n" ); document.write( "\n" ); document.write( "And the area will be: $\"A=x%2825-2x%29%2F2\"$ , we can write it in the form:\r
\n" ); document.write( "\n" ); document.write( " $\"A=-x%5E2%2B%2825%2F2%29x\"$ , that represent a downward parabola, where the value of \r
\n" ); document.write( "\n" ); document.write( "its vertex is the maximum area. We find the vertex.\r
\n" ); document.write( "\n" ); document.write( " $\"x=-b%2F2a=%28-25%29%2F%282%29%28-2%29=25%2F4\"$ .\r
\n" ); document.write( "\n" ); document.write( "If you want the maximum area, fens a square with side 25/4 feet. \n" ); document.write( "

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