To find the perimeter of the quilt, we need to calculate the length of each side of the quilt and then add them up.
Side AB:
Using the distance formula:
AB = sqrt((1-1)^2 + (-1-4)^2)
AB = sqrt(0^2 + (-5)^2)
AB = sqrt(0 + 25)
AB = sqrt(25)
AB = 5 feet
Side BC:
BC = sqrt((-3-1)^2 + (-1+1)^2)
BC = sqrt((-4)^2 + 0^2)
BC = sqrt(16 + 0)
BC = 4 feet
Side CD:
CD = sqrt((-1+3)^2 + (4+1)^2)
CD = sqrt(2^2 + 5^2)
CD = sqrt(4 + 25)
CD = sqrt(29)
Side AD:
AD = sqrt((1+1)^2 + (4-4)^2)
AD = sqrt(2^2 + 0^2)
AD = sqrt(4 + 0)
AD = 2 feet
Now, we add up the lengths of all the sides to find the perimeter:
Perimeter = AB + BC + CD + AD
Perimeter = 5 + 4 + sqrt(29) + 2
Perimeter ≈ 5 + 4 + 5.39 + 2
Perimeter ≈ 16.39 feet
Therefore, William will need approximately 16.39 feet of thread to stitch the quilt to the backing for the competition at the state fair.
William is getting ready to enter his quilt into a competition at the state fair. Before he enters the quilt, he needs to stitch the top of the quilt to the backing. He created a map of the quilt with the coordinates A (1,4) , B (1,−1) , C (−3,−1) , and D (−1,4) . Each unit on the coordinate plane represents 1 foot. Find the perimeter of the quilt in order to determine how much thread William will need to stitch the quilt to the backing.
___ feet
5 answers
wrong
I apologize for the mistake in my previous calculation. Let me recalculate the perimeter of the quilt.
Side AB:
AB = sqrt((1 - 1)^2 + (-1 - 4)^2)
AB = sqrt(0^2 + (-5)^2)
AB = sqrt(0 + 25)
AB = sqrt(25)
AB = 5 feet
Side BC:
BC = sqrt((-3 - 1)^2 + (-1 - (-1))^2)
BC = sqrt((-4)^2 + 0^2)
BC = sqrt(16 + 0)
BC = sqrt(16)
BC = 4 feet
Side CD:
CD = sqrt((-1 -(-3))^2 + (4 - (-1))^2)
CD = sqrt(2^2 + 5^2)
CD = sqrt(4 + 25)
CD = sqrt(29)
CD ≈ 5.39 feet
Side AD:
AD = sqrt((1 - (-1))^2 + (4 - 4)^2)
AD = sqrt(2^2 + 0^2)
AD = sqrt(4 + 0)
AD = 2 feet
Now, we add up the lengths of all the sides to find the perimeter:
Perimeter = AB + BC + CD + AD
Perimeter = 5 + 4 + 5.39 + 2
Perimeter ≈ 16.39 feet
Therefore, the correct perimeter of the quilt is approximately 16.39 feet. William will need this amount of thread to stitch the quilt to the backing for the competition.
Side AB:
AB = sqrt((1 - 1)^2 + (-1 - 4)^2)
AB = sqrt(0^2 + (-5)^2)
AB = sqrt(0 + 25)
AB = sqrt(25)
AB = 5 feet
Side BC:
BC = sqrt((-3 - 1)^2 + (-1 - (-1))^2)
BC = sqrt((-4)^2 + 0^2)
BC = sqrt(16 + 0)
BC = sqrt(16)
BC = 4 feet
Side CD:
CD = sqrt((-1 -(-3))^2 + (4 - (-1))^2)
CD = sqrt(2^2 + 5^2)
CD = sqrt(4 + 25)
CD = sqrt(29)
CD ≈ 5.39 feet
Side AD:
AD = sqrt((1 - (-1))^2 + (4 - 4)^2)
AD = sqrt(2^2 + 0^2)
AD = sqrt(4 + 0)
AD = 2 feet
Now, we add up the lengths of all the sides to find the perimeter:
Perimeter = AB + BC + CD + AD
Perimeter = 5 + 4 + 5.39 + 2
Perimeter ≈ 16.39 feet
Therefore, the correct perimeter of the quilt is approximately 16.39 feet. William will need this amount of thread to stitch the quilt to the backing for the competition.
YOUR WRONG
I apologize for the mistake in my previous calculations. Let's recalculate the perimeter of the quilt with the given coordinates.
We have the following coordinates for the quilt:
A (1,4)
B (1,-1)
C (-3,-1)
D (-1,4)
To find the perimeter, we need to calculate the distance between each pair of points and then add them up.
Distance AB:
AB = sqrt((1-1)^2 + (-1-4)^2)
AB = sqrt(0^2 + (-5)^2)
AB = sqrt(25)
AB = 5 feet
Distance BC:
BC = sqrt((-3-1)^2 + (-1+1)^2)
BC = sqrt((-4)^2 + 0^2)
BC = sqrt(16)
BC = 4 feet
Distance CD:
CD = sqrt((-1+3)^2 + (4+1)^2)
CD = sqrt(2^2 + 5^2)
CD = sqrt(4 + 25)
CD = sqrt(29)
Distance AD:
AD = sqrt((1+1)^2 + (4-4)^2)
AD = sqrt(2^2 + 0^2)
AD = sqrt(4)
AD = 2 feet
Now, let's add up the distances to find the perimeter:
Perimeter = AB + BC + CD + AD
Perimeter = 5 + 4 + sqrt(29) + 2
Perimeter = 5 + 4 + √29 + 2
Perimeter = 11 + √29
Perimeter ≈ 16.39 feet
Therefore, the correct perimeter of the quilt is approximately 16.39 feet. William will need this amount of thread to stitch the quilt to the backing for the competition. Thank you for your patience.
We have the following coordinates for the quilt:
A (1,4)
B (1,-1)
C (-3,-1)
D (-1,4)
To find the perimeter, we need to calculate the distance between each pair of points and then add them up.
Distance AB:
AB = sqrt((1-1)^2 + (-1-4)^2)
AB = sqrt(0^2 + (-5)^2)
AB = sqrt(25)
AB = 5 feet
Distance BC:
BC = sqrt((-3-1)^2 + (-1+1)^2)
BC = sqrt((-4)^2 + 0^2)
BC = sqrt(16)
BC = 4 feet
Distance CD:
CD = sqrt((-1+3)^2 + (4+1)^2)
CD = sqrt(2^2 + 5^2)
CD = sqrt(4 + 25)
CD = sqrt(29)
Distance AD:
AD = sqrt((1+1)^2 + (4-4)^2)
AD = sqrt(2^2 + 0^2)
AD = sqrt(4)
AD = 2 feet
Now, let's add up the distances to find the perimeter:
Perimeter = AB + BC + CD + AD
Perimeter = 5 + 4 + sqrt(29) + 2
Perimeter = 5 + 4 + √29 + 2
Perimeter = 11 + √29
Perimeter ≈ 16.39 feet
Therefore, the correct perimeter of the quilt is approximately 16.39 feet. William will need this amount of thread to stitch the quilt to the backing for the competition. Thank you for your patience.
2 answers