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Answer:
Area of the rhombus ABCD = 16 square units
Step-by-step explanation:
Area of a rhombus =
From the graph attached,
Diagonal 1 = Distance between the points A and C
Diagonal 2 = Distance between the points B and D
Length of a segment between (x₁, y₁) and (x₂, y₂) =
Diagonal 1 (AC) = = 4 units
Diagonal 2(BD) = = 8 units
Now area of the rhombus ABCD =
=
= 16 units²
Therefore, area of the given rhombus is 16 units².