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.
1) The length of one side of the finished quilt is; 6 ft
2) The increase in the total length of each side of the quilt is; 1 ft
3) The width of the border round the quilt is; 0.5 ft
We are told that the main design has each side to be 5 ft long.
Now, she adds a border all round and as a result the area of the quilt is now 36 ft²
A) Since the quilt is a square and the area is 36 ft², we know that;
Area of a square = s²
Where s is length of one side.
Thus;
s² = 36
s = √36
s = 6 ft
B) Since the initial length of a side was 5 ft and the new length is 6 ft, then the difference is;
6 - 5 = 1 ft
Thus, the border made each side length of the quilt increase by 1 ft.
C) Since the border goes all round, since the difference in length is 1 ft, it means that the width of each border is; ½ ft = 0.5 ft
Read more about area of a square at; https://brainly.com/question/19649229
