document.write( "Question 263926: The length of a rectangle is 10 centimeters less than 3 times its width. If the perimeter of the rectangle is at most 180 centimeters, find the greatest possible length of the rectangle \r
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Algebra.Com's Answer #194425 by CharlesG2(834)\"\" \"About 
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The length of a rectangle is 10 centimeters less than 3 times its width. If the perimeter of the rectangle is at most 180 centimeters, find the greatest possible length of the rectangle
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\n" ); document.write( "\n" ); document.write( "L length, W width
\n" ); document.write( "P perimeter = 2 * (L + W) = 180 cm at most
\n" ); document.write( "P = 2 * ( (3 * W - 10) + W ) = 180
\n" ); document.write( "2 * ( (3 * W - 10) + W ) = 180 (solve for W)
\n" ); document.write( "3 * W - 10 + W = 90 (divided both sides by 2)
\n" ); document.write( "4 * W - 10 = 90
\n" ); document.write( "4 * W = 100 (divide both sides by 4)
\n" ); document.write( "W = 25 cm
\n" ); document.write( "L = 3 * W - 10 (plug in the solved W)
\n" ); document.write( "L = 3 * 25 - 10
\n" ); document.write( "L = 75 - 10
\n" ); document.write( "L = 65 cm greatest possible length\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "P = 2 * (L + W)
\n" ); document.write( "P = 2 * (65 + 25)
\n" ); document.write( "P = 2 * 90
\n" ); document.write( "P = 180 cm\r
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