Answer:
104 units²
Step-by-step explanation:
To find the area, you need to find the length and width of the rectangle.
In the figure,
Width: AB and DC
Length: BC and AD
Just calculate the distance of any one in each section since the opposite sides are equal.
Length formula:
√(x₂ - x₁)² + (y₂ - y₁)²
Now use the coordinates of the points and substitute it to the formula. I'll use sides AB(width) and BC(length).
AB:
√(1 - (-5))² + (6 - 2)²
√(1 + 5)² + (4)²
√6² + 4²
√36 + 16
√52
BC:
√(9 - 1)² + (-6 - 6)²
√(8)² + (-12)²
√64 + 144
√208
Now,
Area = LW
Area = (√208)(√52)
Area = 104
