document.write( "Question 978314: Thank you for answering my questions :) \r
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document.write( "The length of a rectangle is twice its width. If its length is decreased by 3m and its width is increased by 2m, the area of the resulting rectangle is 30m^2. Find the dimension.\r
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document.write( "In the previous it said its triangle but its rectangle... And i didnt notice it
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document.write( "Sorry for the typo error...
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Algebra.Com's Answer #599751 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of a rectangle is twice its width. \n" ); document.write( "Let width be \"x\":: \n" ); document.write( "Then length is \"2x\":: \n" ); document.write( "----------------------------------\r \n" ); document.write( "\n" ); document.write( "If its length is decreased by 3m and its width is increased by 2m, the area of the resulting rectangle is 30m^2. Find the dimension. \n" ); document.write( "------\r \n" ); document.write( "\n" ); document.write( "New length:: 2x-3 \n" ); document.write( "New width:: x+2 \n" ); document.write( "------ \n" ); document.write( "Equation:: \n" ); document.write( "(2x-3)(x+2) = 30 \n" ); document.write( "2x^2 + x - 6 = 30 \n" ); document.write( "------ \n" ); document.write( "2x^2 + x - 36 = 0 \n" ); document.write( "------------ \n" ); document.write( "(x-4)(2x+9) = 0 \n" ); document.write( "---- \n" ); document.write( "Positive solution:: \n" ); document.write( "x = 4m (original width) \n" ); document.write( "2x = 8m (original length) \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " \n" ); document.write( " |