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
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
Find the area of the figure.
Choices:A. 14 ft2
B. 11 ft2
C. 12 ft2
D. 10 ft2
Correct Answer: D
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 ft2.