document.write( "Question 799669: A gardener has a rectangular flowerbed, 8 m by 6 m. he added a border of uniform width. if the area of the flowerbed was increased by 72m^2, how wide was the border?
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Algebra.Com's Answer #482760 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Initial area = 8*6 = 48 sqm\r \n" ); document.write( "\n" ); document.write( "width and length increased by x\r \n" ); document.write( "\n" ); document.write( "length = 8+2x \n" ); document.write( "width = 6+2x\r \n" ); document.write( "\n" ); document.write( "Area = (8+2x)(6+2x)\r \n" ); document.write( "\n" ); document.write( "(8+2x)(6+2x)-48 = 72 \r \n" ); document.write( "\n" ); document.write( "48+16x+12x+4x^2-48= 72\r \n" ); document.write( "\n" ); document.write( "4x^2+28x-72=0\r \n" ); document.write( "\n" ); document.write( "/4 \n" ); document.write( "x^2+7x-18=0\r \n" ); document.write( "\n" ); document.write( "x^2+9x-2x-18=0 \n" ); document.write( "x(x+9)-2(x+9) =0\r \n" ); document.write( "\n" ); document.write( "(x+9)(x-2)=0\r \n" ); document.write( "\n" ); document.write( "x=-9 OR 2\r \n" ); document.write( "\n" ); document.write( "ignore negative\r \n" ); document.write( "\n" ); document.write( "x= 2 \n" ); document.write( " |