document.write( "Question 897639: A swimming pool is 5 m longer than it is wide and is surrounded by a deck 2 m wide. The area of the pool and deck together is at least 140m^2 greater than the area of the pool alone. What can you conclude about the dimensions of the pool? \n" ); document.write( "
Algebra.Com's Answer #544209 by josmiceli(19441)\"\" \"About 
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Let \"+p+\" = area of the pool in m2
\n" ); document.write( "Let \"+d+\" = area of the deck in m2
\n" ); document.write( "-------------
\n" ); document.write( "given:
\n" ); document.write( "\"+p+%2B+d+=+p+%2B+140+\" m2
\n" ); document.write( "The area of the pool plus the deck is:
\n" ); document.write( "\"+p+%2B+d+=+%28+w+%2B+2+%29%2A%28+w+%2B+7+%29+\"
\n" ); document.write( "\"+%28+w+%2B+2+%29%2A%28+w+%2B+7+%29+=+p+%2B+140+\"
\n" ); document.write( "\"+p+=+%28+w+%2B+2+%29%2A%28+w+%2B+7+%29+-+140+\"
\n" ); document.write( "The width has to be greater than \"+7.594++\" m
\n" ); document.write( "The length is greater than \"+12.594+\" m
\n" ); document.write( "since
\n" ); document.write( "\"+w%5E2+%2B+9w+%2B+14+=+140+\"
\n" ); document.write( "\"+w%5E2+%2B+9w+-+126+=+0+\"
\n" ); document.write( "\"+w+=+%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+=+-126+\"
\n" ); document.write( "\"+w+=+%28+-9+%2B-+sqrt%28+9%5E2+-+4%2A1%2A%28-126%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"+w+=+%28+-9+%2B-+sqrt%28+81+%2B+504+%29%29+%2F+2+\"
\n" ); document.write( "\"+w+=+%28+-9+%2B+sqrt%28+585+%29+%29+%2F+2+\"
\n" ); document.write( "\"+w+=+%28+-9+%2B+24.187+%29+%2F+2+\"
\n" ); document.write( "\"+w+=+15.187+%2F+2+\"
\n" ); document.write( "\"+w+=+7.594+\"
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "\"+w%5E2+%2B+9w+%2B+14+=+140+\"
\n" ); document.write( "\"+7.594%5E2+%2B+9%2A7.594+%2B+14+=+140+\"
\n" ); document.write( "\"+57.661+%2B+68.3415+%2B+14+=+140+\"
\n" ); document.write( "\"+140.0025+=+140++\"
\n" ); document.write( "close enough\r
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