SOLUTION: The length of a rectangular garden is 3 meters greater than the width. The area of the gard4en is 108 square meters. Find the length. State your answer in terms of meters, but d

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Question 150525: The length of a rectangular garden is 3 meters greater than the width. The area of the gard4en is 108 square meters. Find the length.
State your answer in terms of meters, but do not include a unit of measure with your response. Although you may find the width, do not include this information in the answer?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given: Length = Width + 3
Width = Length - 3
Area = Length*Width
Area = 108
A+=+L%2AW
180+=+L+%2A+%28L-3%29
180+=+L%5E2+-+3L
0+=+L%5E2+-+3L+-+180
0+=+%28L+-15%29%28L+%2B+12%29+
Either or both terms must be 0 for the product to equal 0.
Either (L-15) = 0 or (L+12)=0
So L = 15 or L = -12.
Since a length cannot be negative, the length must be 15.