document.write( "Question 284608: Please help! A rectangular pool that is 20ft. long and 25ft. wide is to be surrounded by a concrete walk of uniform width. If the owner can only afford to pay for enough concrete to create a total walk area of 504 sq. ft., what is the width of this walk? \n" ); document.write( "
Algebra.Com's Answer #206482 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Please help! A rectangular pool that is 20ft. long and 25ft. wide is to be surrounded by a concrete walk of uniform width. If the owner can only afford to pay for enough concrete to create a total walk area of 504 sq. ft., what is the width of this walk? \r \n" ); document.write( "\n" ); document.write( "let the width of the walk be x\r \n" ); document.write( "\n" ); document.write( "The length of pool +walk will be 2x+25 ( width x on both sides of the pool)\r \n" ); document.write( "\n" ); document.write( "The width will be 2x+20 \r \n" ); document.write( "\n" ); document.write( "The area of pool +walk = (2x+20) * (2x+25)\r \n" ); document.write( "\n" ); document.write( "The area of the pool = 20*25\r \n" ); document.write( "\n" ); document.write( "(2x+20)(2x+25)- 500= 504\r \n" ); document.write( "\n" ); document.write( "2x(2x+25)+20(2x+25)-500=504\r \n" ); document.write( "\n" ); document.write( "4x^2+50x+40x+500-500=504\r \n" ); document.write( "\n" ); document.write( "4x^2+90x-504=0\r \n" ); document.write( "\n" ); document.write( "2x^2+45x-252=0\r \n" ); document.write( "\n" ); document.write( "a=2, b= 45 * c= -252\r \n" ); document.write( "\n" ); document.write( "b^2-4ac= 4041\r \n" ); document.write( "\n" ); document.write( "x1= -45+sqrt4041 / 2*2\r \n" ); document.write( "\n" ); document.write( "=4.64\r \n" ); document.write( "\n" ); document.write( "x2=-45-sqrt4041 / 2*2\r \n" ); document.write( "\n" ); document.write( "x2=-27.1\r \n" ); document.write( "\n" ); document.write( "the width of the walk = 4.64 feet\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |