Use the area formula, π΄π΄ = π π 2, to find the area of Square ABCD.
A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)
To find the area of Square ABCD, we need to calculate the length of one of its sides. We can use the distance formula to find the length between any two consecutive points of the square.
Let's calculate the length between points A and B:
Length of AB = β((x2 - x1)Β² + (y2 - y1)Β²)
= β((-2 - (-7))Β² + (-6 - 6)Β²)
= β(5Β² + (-12)Β²)
= β(25 + 144)
= β169
= 13
Therefore, the length of one side of the square is 13.
Now, we can use the area formula to find the area:
Area (A) = sideΒ²
= 13Β²
= 169
Therefore, the area of Square ABCD is 169 square units.