document.write( "Question 569291: Here is my question.\r
\n" ); document.write( "\n" ); document.write( "You have a rectangle with 78 square centimeters.What are the dimensions of the rectangle with the largest perimeter?\r
\n" ); document.write( "\n" ); document.write( "Im not so sure about how to do this. Please help! \n" ); document.write( "
Algebra.Com's Answer #367272 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
You have a rectangle with 78 square centimeters.What are the dimensions of the rectangle with the largest perimeter?
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\n" ); document.write( "Equation:
\n" ); document.write( "LW = 78 sq. cm
\n" ); document.write( "Perimeter = 2(L + W)
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\n" ); document.write( "P = 2(L + (78/L))
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\n" ); document.write( "P = 2(L^2+78)/L
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\n" ); document.write( "P = (2L^2+156)/L
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\n" ); document.write( "Take the derivative:
\n" ); document.write( "P' = [L(4L)-(2L^2+156)]/L^2
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\n" ); document.write( "P' = [2L^2-156]/L^2
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\n" ); document.write( "Solve: P' = 0
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\n" ); document.write( "2L^2-156 = 0
\n" ); document.write( "L^2 = 78
\n" ); document.write( "Length = sqrt(78)
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\n" ); document.write( "Width = sqrt(78)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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