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.

Question

WHATS THE ANSWER HUH BOT

Answer 1

To find the perimeter of the quilt, we need to calculate the distance between each pair of consecutive points and then add them all together.

Distance between A and B:
AB = √((1-1)^2 + (-1-4)^2)
AB = √(0 + 25)
AB = √25
AB = 5 ft

Distance between B and C:
BC = √((1+3)^2 + (-1+1)^2)
BC = √(16 + 0)
BC = √16
BC = 4 ft

Distance between C and D:
CD = √((-3+1)^2 + (-1-4)^2)
CD = √(4 + 25)
CD = √29

Distance between D and A:
DA = √((-1-1)^2 + (4-4)^2)
DA = √(4 + 0)
DA = √4
DA = 2 ft

Now, we add up all the distances to find the perimeter:
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 4 + √29 + 2
Perimeter ≈ 5 + 4 + 5.39 + 2
Perimeter ≈ 16.39 ft

Therefore, William will need approximately 16.39 feet of thread to stitch the quilt to the backing.

Answer 2

wrong

Answer 3

I apologize for the mistake in my calculation. Let's try it again.

Using the distances we calculated earlier:
AB = 5 ft
BC = 4 ft
CD = √29 ft
DA = 2 ft

Now, we add up all the distances to find the perimeter:
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 4 + √29 + 2
Perimeter ≈ 5 + 4 + 5.39 + 2
Perimeter ≈ 16.39 ft

Therefore, the correct answer is that William will need approximately 16.39 feet of thread to stitch the quilt to the backing. Thank you for pointing out the mistake.