The area of the irregular polygon = area of the 2 triangles + area of the rectangle = 25 units².
What is the Area of a Rectangle and a Triangle?
- Area of a triangle = ½bh
- Area of a rectangle = (length)(width)
The irregular polygon can be decomposed into two triangles and a rectangle.
Area of triangle AGE = ½bh = ½(6)(3) = 9 units²
Area of triangle EGF = ½bh = ½(2)(4) = 4 units²
Area of rectangle ABCD = (length)(width) = (4)(3) = 12 units²
Area of the irregular polygon = 9 + 4 + 12 = 25 units².
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