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) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is given by . In this case, , so we can create an expression for the perimeter by substituting this expression for L
, and we know that this perimeter is 234 meters. Hence,
Distribute, collect terms, move the constant value to the right.
Divide by 6
So the width of the field is 44 meters. The length of the field is then meters.
Check:
Answer checks.
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