SOLUTION: 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?

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the perimeter is
+P+=+2W+%2B+2L+
given:
+L+=+3W+%2B+18+
+P+=+170+ m
--------------
+170+=+2W+%2B+2L+
+85+=+W+%2B+L+
By substitution:
+85+=+W+%2B+3W+%2B+18+
+85+=+4W+%2B+18+
+4W+=+67+
+W+=+16.75+
and
+85+=+16.75+%2B+L+
+L+=+68.25+
The length is 68.25 m
check:
+170+=+2W+%2B+2L+
+170+=+2%2A16.75+%2B+2%2A68.25+
+170+=+33.5+%2B+136.5+
+170+=+170+
OK