Final answer:
Quilted fabric is backed with lining, interlined with lofty fabric or batting, and stitched together to form one layer with stitching patterns showing on both sides.
Step-by-step explanation:
The type of fabric that is backed with lining, interlined with lofty fabric or batting, and stitched together to form one layer with stitching patterns showing on both sides is a) Quilted. Quilting is the process of stitching together fabric scraps into a design, sandwiching them with padding and a backing fabric, and then hand-stitching the layers together. This technique creates a single layered fabric with visible stitching patterns on both sides.