The calculated area of the figure is 4 square units
How to calculate the area of the figure in square units?
From the question, we have the following parameters that can be used in our computation:
(4, 0), (0, 4), (2, 2), (0, 0)
The area of the figure in square units is calculated as
Area = 1/2 * |x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₁ - x₁y₃|
(4, 0)
(0, 4)
(2, 2)
(0, 0)
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * |4 * 4 - 0 * 0 + 0 * 2 - 4 * 2 + 2 * 0 - 0 * 2 + 0 * 0 - 0 * 4|
Evaluate the sum and the difference of products
Area = 1/2 * 8
So, we have
Area = 4
Hence, the area is 4 square units