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(P, 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 = a ^ 2 + b ^ 2 = c ^ 2 where c is the side length, s. s = _feet 4. Use the area formula, A = s ^ 2 to find the area of Square ABCD. A=\ f eet
1. The points on the grid are as follows:
a. A(-7, 6)
b. B(-2, -6)
c. C(10, -1)
d. D(P, 11)
2. Connecting the points, we get Square ABCD.
3. To find the side length, we can use the Pythagorean Theorem. The distance formula is used to find the distance between two points, which is the side length of the square. Applying the distance formula for points A(-7, 6) and B(-2, -6), we get:
s^2 = (x2 - x1)^2 + (y2 - y1)^2
s^2 = (-2 - (-7))^2 + (-6 - 6)^2
s^2 = (5)^2 + (-12)^2
s^2 = 25 + 144
s^2 = 169
s = √169
s = 13 feet
Therefore, the side length of Square ABCD is 13 feet.
4. Using the side length obtained in the previous step, we can find the area of the square using the formula A = s^2. Substituting the value of s:
A = (13 feet)^2
A = 169 square feet
Therefore, the area of Square ABCD is 169 square feet.