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

Ques:

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 Worksheet

• Solving-Problems-on-Area-of-Rectangles-Gr-3