Answer:
The area = 30 units²
Step-by-step explanation:
∵ A (-4 , 1) and (2 , 1)
∴ AB is a horizontal segment (same y-coordinates)
∴ AB = 2 - -4 = 6 units
∵ B (2 , 1) and C (2 , -5)
∴ BC is a vertical segment (same x-coordinates)
∴ AB ⊥ BC
∴ BC = 1 - -5 = 6 units
∵ A (-4 , 1) and D (-4 , -3)
∴ AD is a vertical segment
∴ AD ⊥ AB
∴ AD // BC
∴ AD = 1 - -3 = 4 units
∴ ABCD is trapezium with parallel bases AD , BC and height AB
∵ [tex]A=\frac{b_{1}+b_{2}}{2}h[/tex]
∴ [tex]A=\frac{4+6}{2}(6)=30[/tex] units²
