The area of the figure is 12 square units after splitting the given figure into two triangles and one rectangle the answer is 12 square units.
What is a regular polygon?
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
The area of the polygon can be found using the formula:
[tex]\rm \rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
We have an irregular polygon shown in the picture.
We can split the given figure into two triangles and one rectangle:
The area of the figure
= area of the right angle triangle + area of the small right angle triangle
+ area of the rectangle
The area of the figure = (1/2)(4)(4) + (1/2)(2)(4-2) + 1×2
The area of the figure = (1/2)(4)(4) + (1/2)(2)(2) + 2
The area of the figure = 8 + 2 + 2
The area of the figure = 12 square units
Thus, the area of the figure is 12 square units after splitting the given figure into two triangles and one rectangle the answer is 12 square units.
Learn more about the regular polygon here:
brainly.com/question/11810316
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