Question 1128052
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The solutions by the other tutors using formal algebra are valid, and correct.<br>
However, if speed in solving the problem is important and a formal algebraic solution is not required (as in a mathematics competition), take a few moments to see if the problem can be solved by logical guess-and-check, by assuming that the dimensions of the rectangle are "nice" numbers.<br>
338 = 2*169 = 2*13*13<br>
The most probable choice for the dimensions are then 13 and 26; and indeed 26 is 13 less than 3 times 13.<br>
So the dimensions are 13 by 26, and the perimeter is 2(13+26) = 78.