document.write( "Question 721968: A concrete walk of uniform width surrounds a rectangular swimming pool. Let x represent this width. If the pool is 6 ft. by 10 ft. and the total area of the pool and walk is 96 ft². Find the width of the walk. \n" ); document.write( "
Algebra.Com's Answer #442575 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 pool = 10 ft \n" ); document.write( "Width = 6 ft \n" ); document.write( " \n" ); document.write( "Area = 60 m^2 \n" ); document.write( "Area of sidewalk = 36 m^2 \n" ); document.write( "Length of pool + sidewalk = 10 + 2 x \n" ); document.write( "width of pool + sidewalk = 6 + 2 x \n" ); document.write( " \n" ); document.write( "( 10 + 2 x ) ( 6 + 2 x ) + -60 = 36 \n" ); document.write( " \n" ); document.write( " 60 + 20 x + 12 x + 4 X^2 + -60 = 36 \n" ); document.write( " 4 X^2 + 32 x + -36 = 0 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4x-4)(x+9)=0 \n" ); document.write( "4(x-1)(x+9)=0\r \n" ); document.write( "\n" ); document.write( "x=1 OR -9 \n" ); document.write( " \n" ); document.write( " Ignore negative value \n" ); document.write( " width of sidewalk = 1 ft \n" ); document.write( " \n" ); document.write( " |