The area of the polygon in the given image is calculated as: 218 ft².
How to Calculate the Area of a Polygon?
The polygon shown in the image can be decomposed into a trapezoid and a triangle.
The area of the polygon = area of the trapezoid + area of the triangle.
Area of the trapezoid = 1/2(a + b) × h
a = 36 ft
b = 30 ft
h = 6 ft
Area of the trapezoid = 1/2(36 + 30) × 6
Area of the trapezoid = 198 ft²
Area of the triangle = 1/2(b)(h)
b = 20 ft
h = 26 - 6 = 20 ft
Area of the triangle = 1/2(20)(20)
Area of the triangle = 20 ft²
The area of the polygon = 198 + 20
The area of the polygon = 218 ft²
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