A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)
Use the Pythagorean Theorem to find the side length, s, of Square ABCD in feet.
Area = a2 + b2 = c2 where c is the side length, s.
s = feet
To find the side length of square ABCD, we can use the distance formula to find the distances between points A and B, B and C, C and D, and D and A. Then we can use the Pythagorean theorem to find the length of one side of the square.
The distance between A (-7, 6) and B (-2, -6) can be found using the distance formula:
d(AB) = √((x2 - x1)^2 + (y2 - y1)^2)
= √((-2 - (-7))^2 + (-6 - 6)^2)
= √((5)^2 + (-12)^2)
= √(25 + 144)
= √(169)
= 13
Similarly, the distance between B and C, C and D, and D and A are all 13.
Now we can use the Pythagorean theorem to find the length of one side of the square:
s^2 = 13^2 + 13^2
s^2 = 169 + 169
s^2 = 338
s = √(338)
Therefore, the side length, s, of square ABCD is √338 feet (approximately 18.38 feet).
is it 21.21
No, my earlier calculation for the side length of square ABCD was incorrect. I apologize for the mistake.
Let's go through the calculations again:
The distance between A (-7, 6) and B (-2, -6) can be found using the distance formula:
d(AB) = √((x2 - x1)^2 + (y2 - y1)^2)
= √((-2 - (-7))^2 + (-6 - 6)^2)
= √((5)^2 + (-12)^2)
= √(25 + 144)
= √(169)
= 13
Similarly, the distance between B and C, C and D, and D and A are all 13.
Now we can use the Pythagorean theorem to find the length of one side of the square:
s^2 = 13^2 + 13^2
s^2 = 169 + 169
s^2 = 338
s = √(338)
Therefore, the correct side length, s, of square ABCD is approximately 18.38 feet.
so its not 10.60
No, the correct side length of square ABCD is not 10.60 feet.
Based on the calculations, the side length of square ABCD is approximately 18.38 feet.
Use the area formula, 𝐴 = 𝑠2, to find the area of Square ABCD.
A = feet
To find the area of square ABCD, we can use the formula A = s^2, where s is the side length of the square.
We have already found that the side length of square ABCD is approximately 18.38 feet.
Therefore, the area of square ABCD is:
A = (18.38 feet)^2
A = 338.3844 square feet (approximately)
So, the area of square ABCD is approximately 338.3844 square feet.
i dont think that right
I apologize for any confusion. Let's calculate the area of square ABCD again.
We found earlier that the side length, s, of square ABCD is approximately 18.38 feet.
To find the area, we use the formula A = s^2:
A = (18.38 feet)^2
A ≈ 338.3844 square feet
Therefore, the area of square ABCD is approximately 338.3844 square feet.