document.write( "Question 615076: A swimming pool that is 8m wide by 10m long is surrounded by a sidewalk of uniform width. The area of the sidewalk is 72m^2 by itself. Find the width of the sidewalk and the outer dimensions of th sidewalk to the nearest hundredth of a meter \n" ); document.write( "
Algebra.Com's Answer #386940 by josmiceli(19441)\"\" \"About 
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The area of the swimming pool is \"+8%2A10+=+80+\" m2
\n" ); document.write( "The area of the walkway is \"+72+\" m2
\n" ); document.write( "The total area is \"+80+%2B+72+=+152+\" m2
\n" ); document.write( "Let the width of the sidewalk = \"+x+\"
\n" ); document.write( "The combined width is \"+8+%2B+2x+\" m
\n" ); document.write( "The combined length is \"+10+%2B+2x+\" m
\n" ); document.write( "Now I can say
\n" ); document.write( "\"+%28+8+%2B+2x+%29%2A%28+10+%2B+2x+%29+=+152+\"
\n" ); document.write( "\"+4%2A%28+4+%2B+x+%29%2A%28+5+%2B+x+%29+=+152+\"
\n" ); document.write( "\"+20+%2B+5x+%2B+4x+%2B+x%5E2+=+38+\"
\n" ); document.write( "\"+x%5E2+%2B+9x+-+18+=+0+\"
\n" ); document.write( "Use quadratic formula
\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+=+9+\"
\n" ); document.write( "\"+c+=+-18+\"
\n" ); document.write( "\"+x+=+%28-9+%2B-+sqrt%28+9%5E2+-+4%2A1%2A%28-18%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28-9+%2B-+sqrt%28+81+%2B+72+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-9+%2B-+sqrt%28+153+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-9+%2B+12.37%29+%2F+2+\" ( can't use the negative square root )
\n" ); document.write( "\"+x+=++3.37%2F2+\"
\n" ); document.write( "\"+x+=+1.69+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2x+%2B+8+=+3.38+%2B+8+\"
\n" ); document.write( "\"+2x+%2B+8+=+11.38+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2x+%2B+10+=+3.38+%2B+10+\"
\n" ); document.write( "\"+2x+%2B+10+=+13.38+\"
\n" ); document.write( "The width of the walkway is 1.69 m
\n" ); document.write( "The dimensions are 11.38 x 13.38 m2
\n" ); document.write( "check:
\n" ); document.write( "\"+11.38%2A13.38+=+152.26+\"
\n" ); document.write( "\"+152.26+-+72+=+80.26+\"
\n" ); document.write( "This looks close enough
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