document.write( "Question 283689: The width of a rug is 3 feet shorter than it's length. if the area of the rug is 108 square feet, what are the dimensions of the rug?
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Algebra.Com's Answer #205942 by mananth(16946) You can put this solution on YOUR website! let the length be x\r \n" ); document.write( "\n" ); document.write( "the width will be x-3\r \n" ); document.write( "\n" ); document.write( "area of rectangle = L * W\r \n" ); document.write( "\n" ); document.write( "area = x(x-3)\r \n" ); document.write( "\n" ); document.write( "108=x^2-3x\r \n" ); document.write( "\n" ); document.write( "x^2-3x-108=0\r \n" ); document.write( "\n" ); document.write( "x^2-12x+9x-108=0\r \n" ); document.write( "\n" ); document.write( "x(x-12)+9(x-12)=0 \n" ); document.write( "(x-12)(x+9)\r \n" ); document.write( "\n" ); document.write( "x=12 feet is the length of the rug\r \n" ); document.write( "\n" ); document.write( "12-3 = 9 feet is the width of the rug\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |