Solve problems involving areas of triangles, parallelograms, kites, trapeziums and the combinations of these shapes.

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

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

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

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