document.write( "Question 526370: The area of the rectangle is 80 square centimeters. If the perimeter is 36 centimeters, find the length and width of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #348459 by oberobic(2304) $\"\"$ $\"About$

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P = 2(L+W)
\n" ); document.write( "P = 36
\n" ); document.write( "2L + 2W = 36
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\n" ); document.write( "L * W = 80
\n" ); document.write( "so
\n" ); document.write( "L = 80/W
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\n" ); document.write( "substitute
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\n" ); document.write( "2(80/W) +2W = 36
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\n" ); document.write( "multiply both sides by W to eliminate the fraction
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\n" ); document.write( "2(80) + 2W*W = 36W
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\n" ); document.write( "divide both sides by 2
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\n" ); document.write( "80 + W^2 = 18W
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\n" ); document.write( "W^2 -18W +80 = 0
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\n" ); document.write( "factor
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\n" ); document.write( "(W -8)(W-10) = 0
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\n" ); document.write( "W = 8 or 10
\n" ); document.write( "which means
\n" ); document.write( "L = 10 or 8
\n" ); document.write( "respectively
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\n" ); document.write( "Answer: Length = 10 and Width = 8 OR Length = 8 and Width = 10.
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\n" ); document.write( "Done. \n" ); document.write( "

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