Final answer:
The length of the width of the new scale drawing will be 2 meters.
Step-by-step explanation:
To re-create the drawing with a scale of 1 cm to 4 m, we need to determine the length of the width of the new scale drawing. The current scale is 1 cm to 2 m. We can set up a proportion to solve for the length of the width.
Using the current scale, 1 cm represents 2 m, so we have 1/2 = x/4. Simplifying this proportion, we get 2x = 4, which gives us x = 2 meters. Therefore, the length of the width of the new scale drawing will be 2 meters.