document.write( "Question 411542: A rectangular grass lawn, 45 m long and 38 m wide, has a uniform concrete path around it. If the area of the concrete path is 440 m^2, find the width of the concrete path.\r
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document.write( "PLEASE HELP!!! i need your solutions :( \n" );
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Algebra.Com's Answer #289283 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let the width of the concrete path is x meter.\r \n" ); document.write( "\n" ); document.write( "now, for whole area including path and lawn :\r \n" ); document.write( "\n" ); document.write( "length = 45 + 2x\r \n" ); document.write( "\n" ); document.write( "width = 38 + 2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of concrete path = whole area - lawn area\r \n" ); document.write( "\n" ); document.write( "= (45+2x)*(38+2x) - 45*38\r \n" ); document.write( "\n" ); document.write( "= 90x + 76x + 4x^2 \r \n" ); document.write( "\n" ); document.write( "according to question , \r \n" ); document.write( "\n" ); document.write( " 90x + 76x + 4x^2 = 440 \r \n" ); document.write( "\n" ); document.write( "=> 4x^2 + 166x - 440 = 0 \r \n" ); document.write( "\n" ); document.write( "=> 2x^2 + 83x - 220 = 0\r \n" ); document.write( "\n" ); document.write( "=> 2x^2 + 88x - 5x - 220 = 0\r \n" ); document.write( "\n" ); document.write( "=> 2x(x+44) - 5(x+44) = 0\r \n" ); document.write( "\n" ); document.write( "=> (2x-5)(x+44)=0\r \n" ); document.write( "\n" ); document.write( "so, x = 5/2 , -44 \r \n" ); document.write( "\n" ); document.write( "second value is not possible, \r \n" ); document.write( "\n" ); document.write( "width of path = 5/2 m = 2.5 m\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |