To fin the length of the sides of rectangle ABCD, we will be using the distance formula.
Let's first identify the coordinate of each point.
A (-4, 2)
B (-2, 4)
C (4, -2)
D (2, -4)
The coordinates will be used to substitute for the x's and th y's in the distance formula.
The length of AB is calculated as:
Meanwhile, BC's length is:
We follow the same steps in calculating hte lengths of CD and AD:
The lengths of the sides of rectangle ABCD are:
AB = 2√2
BC = 6√2
CD = 2√2
AD = 6√2
The area of a recatangle is equal to the product of its length and width.
The area of rectangle ABCD is 24 square units.