The perimeter of the quilt can be found by adding the distances between each pair of consecutive points:
AB = (1-1) + (4+1) = 5
BC = (1+3) + (-1+1) = 4
CD = (-1+1) + (4-1) = 3
DA = (-1-1) + (4-4) = 2
Adding all these distances together:
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 4 + 3 + 2
Perimeter = 14 feet
Therefore, William will need 14 feet of thread to stitch the quilt to the backing.
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.(1 point)
feet
Answer with the RIGHT answer
4 answers
and its still wrong be so useless in math
I apologize for the mistake in my previous response. Let's correct the calculation:
To find the perimeter of the quilt, we need to calculate the distance between each pair of consecutive points and add them together.
Using the distance formula:
AB = √((1-1)^2 + (4-(-1))^2) = √(0^2 + 5^2) = √25 = 5
BC = √((1-(-3))^2 + (-1-(-1))^2) = √(4^2 + 0^2) = √16 = 4
CD = √((-3-(-1))^2 + (-1-4)^2) = √((-2)^2 + (-5)^2) = √(4 + 25) = √29
DA = √((-1-1)^2 + (4-4)^2) = √((-2)^2 + 0^2) = √4 = 2
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 4 + √29 + 2
Perimeter = 11 + √29
Therefore, the perimeter of the quilt is 11 + √29 feet.
To find the perimeter of the quilt, we need to calculate the distance between each pair of consecutive points and add them together.
Using the distance formula:
AB = √((1-1)^2 + (4-(-1))^2) = √(0^2 + 5^2) = √25 = 5
BC = √((1-(-3))^2 + (-1-(-1))^2) = √(4^2 + 0^2) = √16 = 4
CD = √((-3-(-1))^2 + (-1-4)^2) = √((-2)^2 + (-5)^2) = √(4 + 25) = √29
DA = √((-1-1)^2 + (4-4)^2) = √((-2)^2 + 0^2) = √4 = 2
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 4 + √29 + 2
Perimeter = 11 + √29
Therefore, the perimeter of the quilt is 11 + √29 feet.
18 feet