Farm Field Area Increase Problem

A farmer has a rectangular field whose length is twice its width. The farmer wants to increase the size of the field by 50%, by adding the same dimensions to both the length and the width. If the original width of the field is $w$ meters, what will be the total area of the new field in square meters?

First, express the original dimensions of the field in terms of $w$ and then calculate the area of the enlarged field.