Which method of pattern development is appropriate for laying out a rectangular hopper?

The parallel line method is particularly suited for laying out a rectangular hopper because it simplifies the process of creating patterns for flat surfaces. This method involves drawing parallel lines that correspond to the dimensions of the hopper, allowing for accurate and straightforward calculations of length and width. The rectangular hopper's design typically features straight edges and uniform sections, which align well with the parallel line technique, making it easy to visualize and draft the necessary measurements directly onto the metal sheet.

This method is efficient for ensuring that the fabrications produced will fit together seamlessly, and it is commonly used in the sheet metal industry for creating components of regular shapes. Other methods like the radial line or conical method are more suited for shapes with curves or angles, which do not apply well to a rectangular hopper. Therefore, the parallel line method stands out as the most effective choice for this specific application.