Maria makes a quilt. The main design is 5 feet long on each side. Then she adds a border around the main design. The finished quilt has an area of 36 square feet.
Answer the questions to find the width of the quilt's border
1. What is the length of one side of the finished quilt?
2. By how much does the border increase the total length of each side of the quilt?
3. The border goes around the whole quilt. What is the width of the border? Explain how you found your answer. (Drawing a picture may help you answer this question.)
Answers
Answer:
Step-by-step explanation:
Main design of the quilt = 5 feet long on each sides.
This means the quilt is square in shape because of the equal length dimensions
Area of the main design = length^2
Length = 5 feet
Area of the main design = 5^2
= 25 feet square
Area of the finished quilt = 36 square feet
Area of the finished quilt = length^2
36 = length^2
Find the square root of both sides
√36 = √ length^2
Length = 6 feet
One side of the finished quilt = 6 feet
2. By how much does the border increase the total length of each side of the quilt?
Length of finished quilt (with border) = 6 feet
Length of quilt (without border) = 5 feet
Difference in length = 6 feet - 5 feet
= 1 feet
The border increase the total length of the quilt by 1 feet
3. What is the width of the border?
The border doesn't have a width, it has an equal length of 6 feet on each side
Step-by-step explanation:
1. 6feet is the length of one side of the finished quilt
2.By 1 feet the border increase the total length of each side of the quilt
3.The border goes around the whole quilt.the width of the border is ½ feet