document.write( "Question 729428: Farmer Dan has 170 meters of fence with which to enclose a field. The length of the field is 18 meters more than three times its width. What is the length of the field? \n" ); document.write( "

Algebra.Com's Answer #445852 by josmiceli(19441) $\"\"$ $\"About$

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The formula for the perimeter is
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+L+=+3W+%2B+18+\"$
\n" ); document.write( " $\"+P+=+170+\"$ m
\n" ); document.write( "--------------
\n" ); document.write( " $\"+170+=+2W+%2B+2L+\"$
\n" ); document.write( " $\"+85+=+W+%2B+L+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+85+=+W+%2B+3W+%2B+18+\"$
\n" ); document.write( " $\"+85+=+4W+%2B+18+\"$
\n" ); document.write( " $\"+4W+=+67+\"$
\n" ); document.write( " $\"+W+=+16.75+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+85+=+16.75+%2B+L+\"$
\n" ); document.write( " $\"+L+=+68.25+\"$
\n" ); document.write( "The length is 68.25 m
\n" ); document.write( "check:
\n" ); document.write( " $\"+170+=+2W+%2B+2L+\"$
\n" ); document.write( " $\"+170+=+2%2A16.75+%2B+2%2A68.25+\"$
\n" ); document.write( " $\"+170+=+33.5+%2B+136.5+\"$
\n" ); document.write( " $\"+170+=+170+\"$
\n" ); document.write( "OK \n" ); document.write( "

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