document.write( "Question 507705: 8. The length of a rectangle is 3 meters more than its width. If the area is 108 square meters, what are the length and width? \r
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document.write( "OK I definetly need some help with these, please! \r
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Algebra.Com's Answer #340691 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = width, so length is then x+3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area = Length*Width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = LW\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "108 = (x+3)*x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "108 = x(x+3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "108 = x^2+3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = x^2+3x-108\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = (x-9)(x+12)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-9)(x+12)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-9 = 0 or x+12 = 0 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=9 or x=-12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Throw out the negative width to get x = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the width is 9 meters and the length is 12 meters (since 9+3=12)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me know if you need more help or if you need me to explain a step in more detail. \n" ); document.write( "Feel free to email me at jim_thompson5910@hotmail.com \n" ); document.write( "or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " |