Answer:
length of one side of finished quilt: 6 ft
width of border: 1/2 ft
Explanation:
The original quilt is 5 ft by 5t, so it is a square.
Its area is 25 square feet.
The quilt with the border has an area of 36 square feet.
Each side of the finished quilt is √(36 ft)² long, or 6 ft long.
Since each side of the finished quilt is 6 ft long, and original quilt is 5 ft long, the total length and width the border adds is 1 ft each.
A total of 1 ft added length means the width of the border on each side is 1/2 ft.