document.write( "Question 340288: This equation has me stumped. It has been a while since I have had Algebra and cant remember all the formula's.\r
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document.write( "A cement walk of uniform width is built around a 20 foot by 40 foot rectangle pool and the area of the walk is 700 square feet. How wide will the walk be? \n" );
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Algebra.Com's Answer #243811 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let width of walk be x feet \n" ); document.write( ".. \n" ); document.write( "Area of pool = 40*20 = 800 sq.ft. \n" ); document.write( "Length of pool + walk = 40+2x . ( x on both sides so 2x) \n" ); document.write( "width of pool + walk = 20+2x \n" ); document.write( "Area of pool + walk = (40+2x)(20+2x) \n" ); document.write( ".. \n" ); document.write( "Area of pool + walk less area of pool = area of walk \n" ); document.write( "(40+2x)(20+2x)-800=700 \n" ); document.write( "800+80x+40x+4x^2-800 =700 \n" ); document.write( "4x^2+120x-700=0 \n" ); document.write( "divide by 4 \n" ); document.write( "x^2+30x-175 =0 \n" ); document.write( "X^2+35X-5X-175=0 \n" ); document.write( "X(X+35)-5(X+35)=0 \n" ); document.write( "(X+35)(X-5)=0 \n" ); document.write( "X=5 or -35 \n" ); document.write( "iGNORE NEGATIVE VALUE. \n" ); document.write( "SO X = 5 FEET THE WIDTH \n" ); document.write( " |