The area of the rectangle is 40 square units.
How to find the area?
Remember that the area of a rectangle of length L and width W is given by:
A = L*W
Here we can define:
L = UT
W = UV
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
D = √( (x₂ - x₁)² + (y₂ - y₁)²)
We can see that:
V = (-3, 0),U = (-5, 4)
Then:
W = √( (-3 + 5)² + (0 - 4)²)
W = √20
And the for the lenght:
U = (-5, 4) and T = (3, 8), then:
L = √( (-5 - 3)² + (8 - 4)²)
L = √80
Then the area is:
Area = √80*√20 = 40 square units.