SOLUTION: A rectangle is 3 feet longer than it is wide. Its area is numerically equal to its perimeter. Find its dimensions.

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Question 837908: A rectangle is 3 feet longer than it is wide. Its area is numerically equal to its perimeter. Find its dimensions.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a rectangle,
P=2%2A%28L%2BW%29
A=L%2AW
For this rectangle,
L=W%2B3
and
L%2AW=2%2A%28L%2BW%29
Substituting,
%28W%2B3%29W=2%28W%2B3%2BW%29
W%5E2%2B3W=4W%2B6
W%5E2-W-6=0
%28W-3%29%28W%2B2%29=0
Only the positive solution makes sense for this problem.
W-3=0
W=3
L=W%2B3=6