The area of the shape shown in the picture is 42 square units after applying the formula.
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.
We have given a polygon on a coordinate plane.
The coordinates are:
A(-5, -8), B(1, -8), C(3, -5), D(1, 0), E(-5, -3), and F(-3, -6)
As we know, the area of any polygon can be calculated using the formula:
[tex]\rm Area = |{\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)+ \ .......+(x_ny_1-y_nx_1)}{2}|[/tex]
After plugging all the coordinates in the above formula, we get:
Area = 42 square units
Thus, the area of the shape shown in the picture is 42 square units after applying the formula.
Learn more about the regular polygon here:
brainly.com/question/11810316
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