Final answer:
The Rose Walk house was designed in the Arts and Crafts style, which emphasizes functional and aesthetically pleasing designs using natural materials and handcrafted details.
Step-by-step explanation:
The Rose Walk house was designed in the Arts and Crafts style. This style was based on the idea of creating functional, well-crafted, and aesthetically pleasing designs. It emphasized the use of natural materials, simple forms, and handcrafted details. The Red House, designed by Philip Webb in collaboration with William Morris, is an example of an Arts and Crafts style house.