The area of the irregular polygon in the sketch is: D. 40.5 cm².
What is the Area of an Irregular Polygon?
To find the area of an irregular polygon, decompose the polygon into known shapes. Find the area of each shape and add all together.
Thus:
The irregular polygon is made up of a rectangle and a triangle.
Area of the irregular polygon = area of rectangle + area of triangle.
= length × width + 1/2(base × height)
Length = 12.5 cm
Width = 3 cm
Base = 3 cm
Height = 2 cm
Area of the irregular polygon = 12.5 × 3 + 1/2(3 × 2)
= 40.5 cm²
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