Final answer:
The length of the quilt is 3.75 m.
Step-by-step explanation:
To find the length of the quilt, we can use the formula for the area of a rectangle: length × width = area.
Given that the width is 1 3/5 m (or 8/5 m) and the area is 6 m², we can plug these values into the formula:
length × 8/5 = 6
To solve for the length, we can multiply both sides of the equation by 5/8:
length = 6 × 5/8 = 30/8 = 15/4 = 3 3/4 m
Therefore, the length of the quilt is 3.75 m.