SOLUTION: a rectangle has a length that is 3 meters longer than twice the width what are the dimensions of the rectangle if its area is 27 square meters?

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Question 250417: a rectangle has a length that is 3 meters longer than twice the width what are the dimensions of the rectangle if its area is 27 square meters?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+A=L%2AW=27+
+L=3%2BW
+%283%2BW%29W=27
+W%5E2%2B3W=27
+W%5E2%2B3W-27=0
Use the quadratic formula,
W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
W+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-27%29+%29%29%2F%282%29+
W+=+%28-3+%2B-+sqrt%28+9%2B108%29%29%2F%282%29+
W+=+%28-3+%2B-+sqrt%28+117%29%29%2F%282%29+
Keep only the positive W.
W+=+%28-3+%2B+sqrt%28+117%29%29%2F%282%29+
+L=3%2BW
L+=+6%2F2%2B%28-3+%2B+sqrt%28+117%29%29%2F%282%29+
L+=+%283+%2B+sqrt%28+117%29%29%2F%282%29+