A square garden has the endpoints 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). Use the area formula, 𝐴 = 𝑠2, to find the area of Square ABCD.
A = feet
To plot the points on the grid, we will use the x-coordinate as the horizontal value and the y-coordinate as the vertical value.
a. A (-7, 6) - We plot A at (-7, 6).
b. B (-2, -6) - We plot B at (-2, -6).
c. C (10, -1) - We plot C at (10, -1).
d. D (5, 11) - We plot D at (5, 11).
Now, we can calculate the length of one side of the square using the distance formula:
Side length, s = √((x2 - x1)^2 + (y2 - y1)^2)
Using points A and B, we have:
s = √((-2 - (-7))^2 + (-6 - 6)^2)
s = √(5^2 + (-12)^2)
s = √(25 + 144)
s = √169
s = 13 feet
The area of a square is given by A = s^2, so the area of square ABCD is:
A = 13^2
A = 169 square feet