document.write( "Question 568196: a pool is to be 30 feet wide and 90 feet long. A walkway is to be built around the entire pool. if the combined area cannot exceed 4000 square feet what are the possible widths of the walkway?
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Algebra.Com's Answer #366863 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Area of pool = 30* 90 = 2700 ft^2 ( rectangle)\r \n" ); document.write( "\n" ); document.write( "Area of pool + walkway = 4000 ft^2\r \n" ); document.write( "\n" ); document.write( "area of walkway = 1300 ft^2\r \n" ); document.write( "\n" ); document.write( "let the width of walk way be x\r \n" ); document.write( "\n" ); document.write( "(30+2x)(90+2x)=4000\r \n" ); document.write( "\n" ); document.write( "2700+60x+180x+4x^2=4000\r \n" ); document.write( "\n" ); document.write( "4x^2+240x+2700=4000\r \n" ); document.write( "\n" ); document.write( "/4 \n" ); document.write( "x^2+60x+675=1000\r \n" ); document.write( "\n" ); document.write( "x^2+60x-325=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2+65x-5x-325=0 \n" ); document.write( "x(x+65)-5(x+650=0 \n" ); document.write( "(x+65)(x-5)=0\r \n" ); document.write( "\n" ); document.write( "x= 5 m\r \n" ); document.write( "\n" ); document.write( "The width has to be less than 5 m \n" ); document.write( " \n" ); document.write( " |