The area of the quadrilateral with the coordinates A(0, 4), B(6, 1), C(3, -5), and D(-3, -2) will be 45 square units.
It is a polygon with four sides. The total interior angle is 360 degrees.
The coordinate of the quadrilateral is given below.
A(0, 4), B(6, 1), C(3, -5) and D(-3, -2).
Then the area of the quadrilateral will be
Area = 1/2[(x₁y₂ + x₂y₃ + x₃y₄ + x₄y₁) - (y₁x₂ + y₂x₃ + y₃x₄ + y₄x₁)]
Then we have
Area = 0.5 |[{0x1 + 6x(-5) + 3x(-2) + (-3)x4} - {4x6 + 1x3 + (-5)x(-3) + (-2)x0}]|
Area = 0.5 |[{-48} - {42}]|
Area = 0.5 |[90]|
Area = 0.5 x 90
Area = 45 square units
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
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