document.write( "Question 1166945: What are the dimensions of the largest rectangular garden that can be enclosed with 48 meters of wire?
\n" ); document.write( "Please with complete solving solutions
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Algebra.Com's Answer #791500 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The largest rectangle with a given fixed area is a square.

\n" ); document.write( "If the square is to be enclosed with 48m of wire, the side of the square will be 48/4 = 12m.

\n" ); document.write( "ANSWER: 12m by 12m

\n" ); document.write( "If you aren't supposed to use that fact to solve the problem, you can do this....

\n" ); document.write( "The perimeter is 48m, so length plus width is 24m. So

\n" ); document.write( "let x = length
\n" ); document.write( "then 24-x = width

\n" ); document.write( "Area = length times width:
\n" ); document.write( "\"A+=+x%2824-x%29+=+24x-x%5E2\"

\n" ); document.write( "If you know calculus, you can use it to find the value of x that will make the area a maximum.

\n" ); document.write( "Otherwise, you can find that value of x either by graphing the function and finding the value of x that gives maximum area, or by using your knowledge about quadratic functions and parabolas.

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