The area of the irregular polygon is 121.5 units squared.
How to find the area of an irregular polygon?
The irregular polygon can be divided into a rectangle and a pentagon.
Therefore, the area is the sum of the area of the pentagon and the rectangle.
Therefore,
area of the rectangle = 6 × 10 = 60 units²
area of the pentagon = 1/ 2 × perimeter × apothem
area of the pentagon = 1 / 2 × 30 × 4.1
area of the pentagon = 123 / 2
area of the pentagon = 61.5 units²
Therefore,
area of the irregular polygon = 61.5 + 60 = 121.5 units²
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