Area of a Polygon
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Definition of Area of a Polygon
Area of a Polygon is the amount of space or region occupied by that polygon.
More About Area of a Polygon
 The area of an irregular polygon can be found by dividing it into different standard polygons.
 Area of a square = s^{2}
 Area of a rectangle = lb
 Area of a triangle = bh
 Area of a parallelogram = bh
 Area of a trapezoid = ()
Examples of Area of a Polygon

Area of the figure = Area of rectangle ABCH + Area of rectangle DEFG
= AH × AB + DE × EF = (6.5 × 4 + 3.5 × 9) m^{2} = 57.5 m^{2}.
So, the area of the above irregular polygon is 57.5 m^{2}
Video Examples: Area of Polygons
Solved Example on Area of a Polygon
Ques:
Find the area of the figure.
Choices:
A. 14 ft^{2}B. 11 ft^{2}
C. 12 ft^{2}
D. 10 ft^{2}
Correct Answer: D
Solution:

Step 1: The figure is divided into a trapezoid and a rectangle.
Step 3: = × FJ × (AF + BE) + HC × CD
Step 4: = × 1 × (3 + 5) + 2 × 3 = 10 [Substitute the values.]
Step 5: Therefore, area of the figure is 10 ft^{2}.
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