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
and its still wrong be so useless in math
18 feet
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.
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.