Respuesta :
The area of the quadrilateral with the given coordinates is 27 square units.
The coordinates of the quadrilateral are A(0, 4), B(5, 2), C(3, -3) and D(-2, -1).
We need to find the area of the quadrilateral with the given coordinates.
What is the formula to find the area of the quadrilateral with coordinates?
The formula to find the area of the quadrilateral with coordinates ( x₀, y₀ ), ( x₁, y₁ ), ( x₂, y₂ ), ( x₃, y₃ ) is (1/2) × ( x₀y₁ - x₁y₀ + x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₀ - x₀y₃ ).
Now, Area=1/2×(0×2-5×4+5×(-3)-3×2+3×(-1)-(-2)×(-3)+(-2)×4-0×(-1))
=1/2×|(-20-15-6-3-6-8)|=27 square units.
Therefore, the area of the quadrilateral with the given coordinates is 27 square units.
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