document.write( "Question 1083209: A factory measuring 60 m by 80 m is surround by a lawn of uniform width. If the area is 57 m2 less than the factory find the width of the lawn. \n" ); document.write( "
Algebra.Com's Answer #697243 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The area of the factory is
\n" ); document.write( "\"+60%2A80+=+4800+\" m2
\n" ); document.write( "The area of the lawn is
\n" ); document.write( "\"+4800+-+57+=+4743+\"
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\n" ); document.write( "The combined area of factory and lawn is
\n" ); document.write( "\"+4800+%2B+4743+=+9543+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Let \"+x+\" = the width of the lawn
\n" ); document.write( "I can now say:
\n" ); document.write( "\"+%28+60+%2B+x+%29%2A%28+80+%2B+x+%29+=+9543+\"
\n" ); document.write( "\"+4800+%2B+140x+%2B+x%5E2+=+9543+\"
\n" ); document.write( "\"+x%5E2+%2B+140x+-+4743+=+0+\"
\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+=+140+\"
\n" ); document.write( "\"+c+=+-4743+\"
\n" ); document.write( "-----------------
\n" ); document.write( "\"+x+=+%28-140+%2B-+sqrt%28+140%5E2-4%2A1%2A%28-4743%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28-140+%2B-+sqrt%28+19600+%2B+18972++%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-140+%2B-+sqrt%28+38572++%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-140+%2B+196.398+%29+%2F+2+\"
\n" ); document.write( "\"+x+=+56.398%2F2+\"
\n" ); document.write( "\"+x+=+28.199+\"
\n" ); document.write( "The width of the lawn is about 28.2 m
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+60+%2B+x+%29%2A%28+80+%2B+x+%29+=+9543+\"
\n" ); document.write( "\"+%28+60+%2B+28.2+%29%2A%28+80+%2B+28.2+%29+=+9543+\"
\n" ); document.write( "\"+88.2%2A108.2+=+9543+\"
\n" ); document.write( "\"+9543.24+=+9543+\"
\n" ); document.write( "Error due to rounding off, I think
\n" ); document.write( "check the math
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