document.write( "Question 563364: A 10-ft by 20-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 136ft squared, how wide is the walkway? \n" ); document.write( "
Algebra.Com's Answer #364855 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
If \"x\" = the width of the walkway, the
\n" ); document.write( "length and width both increase by \"+2x+\"
\n" ); document.write( "given:
\n" ); document.write( "\"+%28+10+%2B+2x+%29%2A%28+20+%2B+2x+%29+=+10%2A20+%2B+136+\"
\n" ); document.write( "\"+4%2A%28+5+%2B+x+%29%2A%28+10+%2B+x+%29+=+200+%2B+136+\"
\n" ); document.write( "\"+4%2A%28+50++%2B+10x+%2B+5x+%2B+x%5E2+%29+=+336+\"
\n" ); document.write( "\"+x%5E2+%2B+15x+%2B+50+=+84+\"
\n" ); document.write( "\"+x%5E2+%2B+15x+-+34+=+0+\"
\n" ); document.write( "Use 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+=+15+\"
\n" ); document.write( "\"+c+=+-34+\"
\n" ); document.write( "\"+x+=+%28-15+%2B-+sqrt%28+15%5E2+-+4%2A1%2A%28-34%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28-15+%2B-+sqrt%28+225+%2B+136+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-15+%2B-+sqrt%28+361+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-15+%2B+19%29+%2F+2+\"
\n" ); document.write( "\"+x+=+4%2F2+\"
\n" ); document.write( "\"+x+=+2+\" ( I can ignore the (-) square root )
\n" ); document.write( "The walkway is 2 ft wide
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+10+%2B+2%2A2+%29%2A%28+20+%2B+2%2A2+%29+=+10%2A20+%2B+136+\"
\n" ); document.write( "\"+14%2A24+=+336+\"
\n" ); document.write( "\"+336+=+336+\"
\n" ); document.write( "OK
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