Respuesta :

Answer:

Step-by-step explanation:

The co-ordinates of the rectangle are:

A (8, 6)

B (-4, -10)

C (-8, -7)

D (4, 9)

The Area of Rectangle is Given by: length x breadth = AB x BC

Lengths of AB and BC can be found by distance formula

length(AB) = [tex]\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2}}[/tex] = [tex]\sqrt{(-4-8)^{2} + (-10-6)^{2}} = 20[/tex]

Similarly,

length(BC) = 5

Area of Rectangle = AB x BC = 20 x 5 = 100 square units