document.write( "Question 478749: A rectangular flower garden with dimensions 3m by 7m is surrounded by
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document.write( "the walk of uniform width. If the area of the walk is 11 sq. m, what is the
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document.write( "width in meters? \n" );
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Algebra.Com's Answer #328010 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the width of sidewalk be x \n" ); document.write( "Length of garden =7 \n" ); document.write( "Width = 3 \n" ); document.write( "Area = 21M^2 \n" ); document.write( "Area of sidewalk =11 M^2 \n" ); document.write( "Length of ground + sidewalk = 7+2x \n" ); document.write( "width of ground + sidewalk = 3+2x \n" ); document.write( " \n" ); document.write( "(7+2x)(3 +2x)-11 =21 \n" ); document.write( " \n" ); document.write( "21+14x+6 x+4x^2- 11=21\r \n" ); document.write( "\n" ); document.write( "4x^2+20x -11=0 \n" ); document.write( " Find the roots of the equation by quadratic formula a= 4 b= 20 c= -11 \n" ); document.write( " b^2-4ac= 400 + 176 \n" ); document.write( " b^2-4ac= 576 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " x1=( -20 + 24 )/ 8 \n" ); document.write( " x1= 0.5 \n" ); document.write( " x2=( -20 -24 ) / 8 \n" ); document.write( " x2= -5.5 \n" ); document.write( " Ignore negative value \n" ); document.write( "The width = 0.5 m\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |