1. The points A (-7, 6), B (-2, -6), C (10, -1), and D (5, 11) are plotted and labeled on the grid.
2. The points A, B, C, and D are connected to create Square ABCD.
3. Using the Pythagorean Theorem, we can find the side length, s, of Square ABCD in feet. The formula is s^2 = a^2 + b^2 = c^2, where c is the side length, s.
For point A, the coordinates are (-7, 6). So a = 7 and b = 6.
s^2 = 7^2 + 6^2
s^2 = 49 + 36
s^2 = 85
s = √85 ≈ 9.22 feet
Therefore, the side length of Square ABCD is approximately 9.22 feet.
4. We can use the area formula, A = s^2, to find the area of Square ABCD.
A = (9.22 feet)^2
A = 85.08 square feet
Therefore, the area of Square ABCD is approximately 85.08 square feet.
Use the image to complete the activity.
1. A square garden has the end points listed below. Plot and label these points on the grid:
a. A (-7, 6)
b. B (-2, -6)
c. C (10, -1)
d. D (5, 11)
2. Connect the points to create Square ABCD.
3. 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
4. Use the area formula, 𝐴 = 𝑠2, to find the area of Square ABCD.
A = feet
3 answers
is that correct?
Apologies for the incorrect explanation. In the given image, we cannot accurately determine the side length of Square ABCD without additional information or measurements. The image does not provide any scale or dimensions to accurately calculate the side length or area of the square. Therefore, we cannot determine the side length or area of Square ABCD.