Final answer:
To find the dimensions of the rectangle, set up equations based on the given information and solve for the variables. The length is 2 less than 3 times the width. The perimeter formula can be used to solve for the dimensions of the rectangle.
Step-by-step explanation:
To find the dimensions of the rectangle, we can set up equations based on the given information. Let's denote the width of the rectangle as 'w' and the length as 'l'. According to the problem, the length is 2 less than 3 times the width, so we have the equation l = 3w - 2. The perimeter of a rectangle is given by the formula P = 2l + 2w. Substituting the value of 'l' from our previous equation, we get 68 = 2(3w - 2) + 2w. Solving this equation will give us the value of 'w' and then we can find 'l' using our first equation.