Area of a Polygon

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 = s2
  • 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

    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

Video Examples: Area of Polygons


Solved Example on Area of a Polygon

Ques:

Find the area of the figure.

    example of Area of a Polygon

    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.
      example of Area of a Polygon
    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.
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