The area of the polygon is the sum of the area of rectangle + area of triangle = 316 cm². (Option C)
Area of Polygon
The polygon is composed of a triangle and a rectangle.
Area of the polygon = Area of Triangle + Area of Rectangle
Area of Rectangle = length × width
Length = 21 cm
Width = 14 cm
Area of rectangle = 21 × 14 = 294 cm²
Area of Triangle = 1/2(base × height)
Base = 21 - 10 = 11 cm
Height = 18 - 14 = 4 cm
Area = 1/2(11 × 4) = 22 cm²
Therefore:
Area of Polygon = 294 + 22 = 316 cm².
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