document.write( "Question 280958: i must find the dimension of a rectangle a with the greatest area whose perimeter is 30 ft. is the answer 10 by 5 \n" ); document.write( "
Algebra.Com's Answer #204128 by stanbon(75887)\"\" \"About 
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i must find the dimension of a rectangle a with the greatest area whose perimeter is 30 ft. is the answer 10 by 5
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\n" ); document.write( "Area = length*width OR LW
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\n" ); document.write( "Perimeter = 2(L+W)
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\n" ); document.write( "Your Problem:
\n" ); document.write( "30 = 2(L+W)
\n" ); document.write( "15 = L+W
\n" ); document.write( "W = 15-L
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\n" ); document.write( "Area = LW
\n" ); document.write( "A = L(15-L)
\n" ); document.write( "A = 15L-L^2
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\n" ); document.write( "This is a quadratic equation with a = -1 and b = 15
\n" ); document.write( "The Maximum area occurs when L = -b/2a = -15/(-2) = 7.5
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\n" ); document.write( "Answer: Length = 7.5 ft and Width = 7.5 ft.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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