document.write( "Question 521397: How wide a border of uniform width should be added to a rectangle that is 8 inches by 12 inches in order to double the area?
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Algebra.Com's Answer #346458 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let x be the width\r \n" ); document.write( "\n" ); document.write( "Area = L*W\r \n" ); document.write( "\n" ); document.write( "Area = 1288=96 \n" ); document.write( "double area = 192\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8+2x)(12+2x)= 192\r \n" ); document.write( "\n" ); document.write( "8(12+2x)+2x(12+2x)=192\r \n" ); document.write( "\n" ); document.write( "96+40x+4x^2=192\r \n" ); document.write( "\n" ); document.write( "4x^2+40x-96=0 \n" ); document.write( "/4 \n" ); document.write( "x^2+10x-24=0 \n" ); document.write( "x^2+12x-2x-24=0 \n" ); document.write( "x(x+12)-2(x+12)=0 \n" ); document.write( "(x+12)(x-2)=0\r \n" ); document.write( "\n" ); document.write( "x the width = 2 inches\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |