Answer:
(c) 50 units²
Step-by-step explanation:
You want to know the area of the rectangle with vertices (-5, 5), (-1, 7), (4, -3), and (0, -5).
Distance formula
The distance formula can be used to find the lengths of the sides. That formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
The distance between the first two points is ...
d = √((-1 -(-5))² +(7 -5)²) = √(4² +2²) = √20
The distance between the next two points is ...
d = √((4 -(-1))² +(-3 -7)²) = √(5² +(-10)²) = √125
Area
The area is the product of two adjacent side lengths:
A = LW
A = (√125)·(√20) = √(125·20) = √2500 = 50 . . . . square units
The area of the rectangle is 50 units².
