document.write( "Question 970445: a rectangle is 6 inches longer than it is wide the area of the reran gel is 112 square inches find the length and width of the rectangle
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Algebra.Com's Answer #593081 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! L*w=Area=112 in^2\r \n" ); document.write( "\n" ); document.write( "w \n" ); document.write( "L=w +6\r \n" ); document.write( "\n" ); document.write( "w(w+6)=112 \n" ); document.write( "w^2+6w-112=0 This is distributing the w and subtracting 112 from both sides. I now have a quadratic equation.\r \n" ); document.write( "\n" ); document.write( "Factor it\r \n" ); document.write( "\n" ); document.write( "4/23 no 8/14 yes\r \n" ); document.write( "\n" ); document.write( "(w+14)(w-8)=0 ; This works if either w+14 or w-6=0\r \n" ); document.write( "\n" ); document.write( "w=-14, w=8 ; only the second makes sense\r \n" ); document.write( "\n" ); document.write( "length=8+6=14\r \n" ); document.write( "\n" ); document.write( "14*8=112 (in*in=in^2).\r \n" ); document.write( "\n" ); document.write( "The length is 14 and the width is 8 \n" ); document.write( " \n" ); document.write( " |