document.write( "Question 550219: a rectangular building is 15m long by 11m wide.
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document.write( "a concrete path of constant width is laid all the way around the building.
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document.write( "if the area of the path is 60.0m2, calculate the width. \n" );
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Algebra.Com's Answer #358653 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the width of sidewalk be x \n" ); document.write( ".. \n" ); document.write( "Length of garden = 15 \n" ); document.write( "Width = 11 \n" ); document.write( " \n" ); document.write( "Area = 165 M^2 \n" ); document.write( "Area of sidewalk = 60 M^2 \n" ); document.write( "Length of ground + sidewalk = 15 + 2 x \n" ); document.write( "width of ground + sidewalk = 12+2x \n" ); document.write( " \n" ); document.write( "(15+2x )(11+2x)-60=165 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "165+30x +22x+4x^2-60= 165 \n" ); document.write( "4X^2+52 x-60=0 \n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " a= 4 b= 52 c= -60 \n" ); document.write( " b^2-4ac= 2704 + 960 \n" ); document.write( " b^2-4ac=3664 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " x1=( -52 + 60.53 )/ 8 \n" ); document.write( " x1= 1.07 \n" ); document.write( " x2=( -52 -60.53 ) / 8 \n" ); document.write( " x2= -14.07 \n" ); document.write( " Ignore negative value \n" ); document.write( "width = 1.07 m \n" ); document.write( " |