CBSE Class 9CBSE
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Introduction to Areas of Parallelograms and Triangles

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Now let us look at following fig. 

You may observe that planar region formed by figure T is made up of two planar regions formed by figures P and Q. You can easily see that  
Area of figure T = Area of figure P + Area of figure Q.
You may denote the area of figure A as ar(A), area of figure B as ar(B), area of figure T as ar(T), and so on. Now you can say that area of a figure is a number (in some unit) associated with the part of the plane enclosed by the figure with the following  two properties:
(1) If A and B are two congruent figures, then ar(A) = ar(B);   and  
(2) if a planar region formed by a figure T is made up of two non-overlapping planar regions formed by figures P and Q, then 
ar(T) = ar(P) + ar(Q).

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