document.write( "Question 595084: the length of a rectangle is 4 centimeters less than twice its width. the perimeter of the rectangle is 64cm. what are the dimensions of the rectangle? Having trouble figuring out this one. Thanks
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Algebra.Com's Answer #376998 by llorton(14)![]() ![]() ![]() You can put this solution on YOUR website! l = length of rectangle in centimeters \n" ); document.write( "w = width of rectangle in centimeters\r \n" ); document.write( "\n" ); document.write( "l = 2*w - 4 (The length is 4 cm less than twice its width.) \n" ); document.write( "2*l + 2*w = 64 (The perimeter equals 64 cm. = 2*length + 2*width)\r \n" ); document.write( "\n" ); document.write( "2*(2*w-4) + 2*w = 64 \n" ); document.write( "4*w - 8 + 2*w = 64 \n" ); document.write( "6*w -8 = 64 \n" ); document.write( "6*w - 8 + 8 = 64 + 8 \n" ); document.write( "6*w = 72 \n" ); document.write( "6*w/6 = 72/6 \n" ); document.write( "w = 12 \n" ); document.write( "l = 2*12 - 4 = 24 - 4 = 20\r \n" ); document.write( "\n" ); document.write( "check: 2*12 + 2*20 = 24 + 40 = 64\r \n" ); document.write( "\n" ); document.write( "The answers are length = 20 cm. and width = 12 cm.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |