Answer:
1. 6 feet
2. 1 ft
0.5 ft
Step-by-step explanation:
The given dimensions for the quilt are;
The length of each sides of the quilt = 5 feet long, therefore, the shape of the quilt is a square
The area, A, of the finished quilt plus the border = 36 ft²
1. Given that the quilt's shape is that of a square, we have;
A = (side length)²
Side length = √A = √36 = 6 feet
2. Given that the initial length of the sides of the quilt are 5 feet, we have;
Increase in total length by border = Final length of quilt - Initial length of quilt
Increase in total length by border = 6 ft - 5 ft = 1 ft
The increase in total length of the quilt by the border = 1 ft
3) Given that the increase in the length by the border = 1 ft
The sum of the width of the border on both sides = 1 ft
Border width on one side + Border width on the other side = 1 ft
Since there is equal border width on each side of the quilt, we have;
2 × Border width = 1 ft
Border width = width of the border = 1 ft/2 = 0.5 ft.
