document.write( "Question 90935: Hello, \r
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document.write( "I need help with problem:\r
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document.write( "The length of a is 4 centimeters more than the width. If the length is increased by 8 centimeters and the width is decreased by 4 centimeters, the area will remain unchanged. Find the orignal demensions of the rectangle. \r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #66019 by malakumar_kos@yahoo.com(315)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The length of a is 4 centimeters more than the width. If the length is increased by 8 centimeters and the width is decreased by 4 centimeters, the area will remain unchanged. Find the orignal demensions of the rectangle\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Let the width of the rectangle be = x\r \n" ); document.write( "\n" ); document.write( " Then the length of the rectangle = x+4 cm \r \n" ); document.write( "\n" ); document.write( " Therefore the Area of the rectangle A = x.(x+4) sq cms\r \n" ); document.write( "\n" ); document.write( " Altered length of the rectangle = x+4+8 = x+12 cms\r \n" ); document.write( "\n" ); document.write( " Altered width of the rectangle = x-4 cms\r \n" ); document.write( "\n" ); document.write( " Area of the rectangle = A = (x-4).(x+12) sq cms\r \n" ); document.write( "\n" ); document.write( " The Areas remain unaltered \r \n" ); document.write( "\n" ); document.write( " x.(x+4) = (x-4).(x+12)\r \n" ); document.write( "\n" ); document.write( " x^2+4x = x^2-4x+12x-48 \n" ); document.write( " x^2-x^2+4x+4x-12x+48 = 0\r \n" ); document.write( "\n" ); document.write( " -12x+8x+48 = 0\r \n" ); document.write( "\n" ); document.write( " 48 = 4x\r \n" ); document.write( "\n" ); document.write( " x = 48/4 = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The original width = 12 cms \r \n" ); document.write( "\n" ); document.write( " The original length = 12+4 = 16 cms \n" ); document.write( " \n" ); document.write( " |