Quadrilateral is a rectangle with vertices D (-8, 2), E (2, 7), F (5, 1), and G (-5, - 4). Find the area of the rectangle.

First find the length DE

a = The difference of 2 and 7 = 5

b = The difference of - 8 and 2 = 10

a² + b² = c²

25 + 100 = 125

c = √125

Now find length EF

A = The difference of 5 and 2 = 3

B = The difference of 1 and 7 = 6

A² + B² = C²

9 + 36 = 45

C = √45

Now we have the lengths of the rectangle. Area of a rectangle = LW

√125 x √45 = 75 (units) ²