Use the area formula, 𝐴= 𝑠^2, to find the area of Square ABCD.

__ Feet^2

A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)

1 answer

To find the area of a square, we need to know the length of one side. In this case, we can find the length of one side by using the distance formula between two points.

AB = distance between points A and B = sqrt((-2 -(-7))^2 + (-6 - 6)^2)
= sqrt((5)^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13

So, the length of one side of the square is 13 feet.
Therefore, the area of Square ABCD is A = s^2 = 13^2 = 169 feet^2.