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 Area     Irregular Polygon     Parallelogram     Polygon     Rectangle     Square     Trapezoid     Triangle  

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 = s²
• Area of a rectangle = lb
• Area of a triangle = bh
• Area of a parallelogram = bh
• Area of a trapezoid = ()

Example 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) m² = 57.5 m².
  So, the area of the above irregular polygon is 57.5 m².

Solved Example on Area of a Polygon

Find the area of the figure.

Choices:
A. 14 ft²
B. 11 ft²
C. 12 ft²
D. 10 ft²
Correct Answer: D
Solution:
Step 1: The figure is divided into a trapezoid and a rectangle.

Step 2: Area of the figure = Area of trapezoid ABEF + Area of rectangle HCDJ
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 ft².

Related Terms for Area of a Polygon

• Area
• Irregular Polygon
• Parallelogram
• Polygon
• Rectangle
• Square
• Trapezoid
• Triangle

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