SOLUTION: the length of a rectangular yard is 15 meters less than twice its width. if 234 meters of fencing goes around the field find the dimensions of the field.

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Question 125561: the length of a rectangular yard is 15 meters less than twice its width. if 234 meters of fencing goes around the field find the dimensions of the field.
Answer by solver91311(24713) About Me  (Show Source):
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The perimeter of a rectangle is given by P=2L+%2B+2W. In this case, L=2W-15, so we can create an expression for the perimeter by substituting this expression for L

P=2%282W-15%29%2B2W, and we know that this perimeter is 234 meters. Hence,

2%282W-15%29%2B2W=234

Distribute, collect terms, move the constant value to the right.
4W-30%2B2W=234
6W=264

Divide by 6
W=44

So the width of the field is 44 meters. The length of the field is then 2%2844%29-15=73 meters.

Check:
2%2A73%2B2%2A44=146%2B88=234 Answer checks.