The length of a rectangles is 3 meters less than 3 time the width. the perimeter is 34 meters.

For this equation we need to write two equations to solve for our 2 variables, length and width.

First equation where length is three less than three times the width

Second equation is the equation for perimeter- all sides added up

Let's use substitution where we substitute length for 3w-3. We can do this because they are equal and then we can solve the 1 variable equation.

We know that perimeter is 34 meters.

Distribute the 2 to 3w-3

Simplify by combining like terms

Add 6 to both sides

Divide both sides by 8 to isolate the x

The width is 5 meters.
Substitute it into length=3w-3 to find out what length is

Simplify
The length is 12 meters.

The dimensions of the rectangle is that the length is 12 meters and the width is 5 meters.