PLZ HELP QUICK!!!!!!..... Figure ABCD has vertices A(−4, 1), B(2, 1), C(2, −5), and D(−4, −3). What is the area of Figure ABCD?
1 answer:
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
∵
∴ units²
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