Swimming Pool Dimensions Challenge

Jordan is planning to construct a rectangular swimming pool in his backyard. The pool's length is 3 meters longer than twice its width. If he has a budget that allows for a total perimeter of 54 meters, what will be the dimensions of the pool?

To solve this, let the width be represented as $w$ meters. Then, the length can be expressed as $l = 2w + 3$ meters. The formula for the perimeter $P$ of a rectangle is given by:

$$ P = 2l + 2w $$

Using this information, determine the dimensions of the pool.