Area of Triangles, Parallelograms, Kites and Trapeziums

 
10.2  Area of Triangles, Parallelograms, Kites and Trapeziums
 
Estimate the area of various shapes:
 
(i) Using a grid with equal squares of sides \(1\text{ unit}\)
 
Example

 
(ii) Drawing lines \(1\text{ unit}\) apart
 
Example

 
The formulae for the area of various shapes:
 
(i) The area of a triangle
 

 
\(\begin{aligned} \text{Area} &=\dfrac{1}{2}ab \end{aligned}\)
 
(ii) The area of a paralellogram
 

 
\(\begin{aligned} \text{Area} &=ab \end{aligned}\)
 
(iii) The area of a kite
 

 
\(\begin{aligned} \text{Area} &=\dfrac{1}{2}ab \end{aligned}\)
 
(iv) The area of the trapezium
 

 
\(\begin{aligned} \text{Area} &=\dfrac{1}{2}(a+b)t \end{aligned}\)