SOLUTION: A rectangle is 3 units longer than it is wide. What is the perimeter of the rectangle in terms of w?

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Question 316418: A rectangle is 3 units longer than it is wide. What is the perimeter of the rectangle in terms of w?
Answer by moshiz08(60) About Me  (Show Source):
You can put this solution on YOUR website!
Length is 3 more than width. That is +L+=+3+%2B+W+. This equation expresses the length in terms of W.
The perimeter of a rectangle is the sum of the lengths of the four sides. A rectangle is a shape with the opposite sides having the same length, so two of the sides have length L and two of them have length W. Thus the perimeter is +P+=+2L+%2B+2W. But we know L in terms of W, so we can substitute that here to get
P+=+2%283%2BW%29+%2B2W+
Distributing the 2 gives
P+=+6%2B2W%2B2W+
+P+=+6+%2B+4W+ which is the equation for the perimeter in terms of the width W.