SOLUTION: The lenght of a rectangle is 2 in. more than twice its width.if the perimeter of the rectangle is 34 in. find the dimensions of the rectangle.

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Some variables I'll use:
l = length
w = width
p = perimeter
First, we have that

And the formula for a perimeter calculation, in general, is l+l+w+w, or:

Substituting 34 for p:

Substituting 2w + 2 for l:


And now we solve for the width:




If l is 2w+2, substituting w for 5 gives us:

Therefore, the length is 12 inches and the width, 5 inches.