document.write( "Question 494635: a 20ft by 40ft rectangular swimming pool is surrounded by a walkway of uniform width. if the total area of the walkway is 544ft^2, how wide is the walkway? \n" ); document.write( "
Algebra.Com's Answer #335735 by josmiceli(19441)\"\" \"About 
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The area of the pool plus the area of the walkway is
\n" ); document.write( "\"+544+%2B+20%2A40+=+544+%2B+800+\"
\n" ); document.write( "\"+544+%2B+800+=+1344+\" ft2
\n" ); document.write( "The dimensions of the pool plus walkway are:
\n" ); document.write( "\"+%2820+%2B+2x%29%2A%2840+%2B+2x%29+\"
\n" ); document.write( "\"+%2820+%2B+2x%29%2A%2840+%2B+2x%29+=+1344+\"
\n" ); document.write( "\"+800+%2B+80x+%2B+40x+%2B+4x%5E2+=+1344+\"
\n" ); document.write( "\"+4x%5E2+%2B+120x+-+544+=+0+\"
\n" ); document.write( "\"+x%5E2+%2B+30x+-+136+=+0+\"
\n" ); document.write( "Use the quadratic equation
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+30+\"
\n" ); document.write( "\"+c+=+-136+\"
\n" ); document.write( "\"x+=+%28-30+%2B-+sqrt%28+30%5E2+-+4%2A1%2A%28-136%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28-30+%2B-+sqrt%28+900+%2B+544+%29%29+%2F+2+\"
\n" ); document.write( "\"x+=+%28-30+%2B-+sqrt%28+1444+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-30+%2B+38%29+%2F+2+\"
\n" ); document.write( "\"+x+=+4+\"
\n" ); document.write( "\"+20+%2B+2x+=+28+\"
\n" ); document.write( "\"+40+%2B+2x+=+48+\"
\n" ); document.write( "The walkway is 4 ft wide
\n" ); document.write( "check:
\n" ); document.write( "\"+%2820+%2B+2x%29%2A%2840+%2B+2x%29+=+1344+\"
\n" ); document.write( "\"+28%2A48+=+1344+\"
\n" ); document.write( "\"+1344+=+1344+\"
\n" ); document.write( "OK
\n" ); document.write( "
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